Elementary Operators And Their Applications

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Elementary Operators and Their Applications

Author : Raul Curto,Martin Mathieu
Publisher : Springer Science & Business Media
Page : 156 pages
File Size : 48,6 Mb
Release : 2011-02-24
Category : Mathematics
ISBN : 9783034800372

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Elementary Operators and Their Applications by Raul Curto,Martin Mathieu Pdf

This volume contains solicited articles by speakers at the workshop ranging from expository surveys to original research papers, each of which carefully refereed. They all bear witness to the very rich mathematics that is connected with the study of elementary operators, may it be multivariable spectral theory, the invariant subspace problem or tensor products of C*-algebras.

Elementary Operators And Applications: In Memory Of Domingo A Herroro - Proceedings Of The International Workshop

Author : Martin Mathieu
Publisher : World Scientific
Page : 270 pages
File Size : 52,8 Mb
Release : 1992-07-17
Category : Electronic
ISBN : 9789814555135

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Elementary Operators And Applications: In Memory Of Domingo A Herroro - Proceedings Of The International Workshop by Martin Mathieu Pdf

The aim of this first international conference entirely devoted to the theory of elementary operators and their interrelations with and applications to other fields was both to give a comprehensive overview of the development of the theory of elementary operators since its beginnings at the end of the last century as well as to discuss some of the recent research done in this area. The volume also includes applications to algebraic properties of linear mappings (on rings as well as on Banach algebras), or to mathematical physics, and connections to related fields such as multiparameter spectral theory.

Operator Algebras and Their Applications

Author : Robert S. Doran,Efton Park
Publisher : American Mathematical Soc.
Page : 267 pages
File Size : 46,7 Mb
Release : 2016-07-28
Category : Operator algebras
ISBN : 9781470419486

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Operator Algebras and Their Applications by Robert S. Doran,Efton Park Pdf

his volume contains the proceedings of the AMS Special Session Operator Algebras and Their Applications: A Tribute to Richard V. Kadison, held from January 10–11, 2015, in San Antonio, Texas. Richard V. Kadison has been a towering figure in the study of operator algebras for more than 65 years. His research and leadership in the field have been fundamental in the development of the subject, and his influence continues to be felt though his work and the work of his many students, collaborators, and mentees. Among the topics addressed in this volume are the Kadison-Kaplanksy conjecture, classification of C∗-algebras, connections between operator spaces and parabolic induction, spectral flow, C∗-algebra actions, von Neumann algebras, and applications to mathematical physics.

Elementary Operator Theory

Author : Marat V. Markin
Publisher : Walter de Gruyter GmbH & Co KG
Page : 406 pages
File Size : 53,5 Mb
Release : 2020-04-06
Category : Mathematics
ISBN : 9783110598889

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Elementary Operator Theory by Marat V. Markin Pdf

The book is intended as a text for a one-semester graduate course in operator theory to be taught "from scratch'', not as a sequel to a functional analysis course, with the basics of the spectral theory of linear operators taking the center stage. The book consists of six chapters and appendix, with the material flowing from the fundamentals of abstract spaces (metric, vector, normed vector, and inner product), the Banach Fixed-Point Theorem and its applications, such as Picard's Existence and Uniqueness Theorem, through the basics of linear operators, two of the three fundamental principles (the Uniform Boundedness Principle and the Open Mapping Theorem and its equivalents: the Inverse Mapping and Closed Graph Theorems), to the elements of the spectral theory, including Gelfand's Spectral Radius Theorem and the Spectral Theorem for Compact Self-Adjoint Operators, and its applications, such as the celebrated Lyapunov Stability Theorem. Conceived as a text to be used in a classroom, the book constantly calls for the student's actively mastering the knowledge of the subject matter. There are problems at the end of each chapter, starting with Chapter 2 and totaling at 150. Many important statements are given as problems and frequently referred to in the main body. There are also 432 Exercises throughout the text, including Chapter 1 and the Appendix, which require of the student to prove or verify a statement or an example, fill in certain details in a proof, or provide an intermediate step or a counterexample. They are also an inherent part of the material. More difficult problems are marked with an asterisk, many problems and exercises are supplied with "existential'' hints. The book is generous on Examples and contains numerous Remarks accompanying definitions, examples, and statements to discuss certain subtleties, raise questions on whether the converse assertions are true, whenever appropriate, or whether the conditions are essential. With carefully chosen material, proper attention given to applications, and plenty of examples, problems, and exercises, this well-designed text is ideal for a one-semester Master's level graduate course in operator theory with emphasis on spectral theory for students majoring in mathematics, physics, computer science, and engineering. Contents Preface Preliminaries Metric Spaces Vector Spaces, Normed Vector Spaces, and Banach Spaces Linear Operators Elements of Spectral Theory in a Banach Space Setting Elements of Spectral Theory in a Hilbert Space Setting Appendix: The Axiom of Choice and Equivalents Bibliography Index

New Directions In The Application Of Symmetry Principles To Elementary Particle Physics: Walifest-mrst 15

Author : Joseph M Schechter
Publisher : World Scientific
Page : 316 pages
File Size : 43,9 Mb
Release : 1994-04-22
Category : Electronic
ISBN : 9789814551601

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New Directions In The Application Of Symmetry Principles To Elementary Particle Physics: Walifest-mrst 15 by Joseph M Schechter Pdf

This volume gives the reader a feel for the latest applications of the symmetry approach to problems in elementary particle physics. Not only are formal, phenomenological and model-building aspects covered but there are also interesting presentations detailing the history of the subject.

Elementary Linear Algebra

Author : Howard Anton,Chris Rorres
Publisher : John Wiley & Sons
Page : 786 pages
File Size : 47,9 Mb
Release : 2010-04-12
Category : Mathematics
ISBN : 9780470432051

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Elementary Linear Algebra by Howard Anton,Chris Rorres Pdf

Elementary Linear Algebra 10th edition gives an elementary treatment of linear algebra that is suitable for a first course for undergraduate students. The aim is to present the fundamentals of linear algebra in the clearest possible way; pedagogy is the main consideration. Calculus is not a prerequisite, but there are clearly labeled exercises and examples (which can be omitted without loss of continuity) for students who have studied calculus. Technology also is not required, but for those who would like to use MATLAB, Maple, or Mathematica, or calculators with linear algebra capabilities, exercises are included at the ends of chapters that allow for further exploration using those tools.

Cellular Neural Networks and Their Applications

Author : Ronald Tetzlaff
Publisher : World Scientific
Page : 700 pages
File Size : 51,6 Mb
Release : 2002-07-08
Category : Computers
ISBN : 9789814487764

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Cellular Neural Networks and Their Applications by Ronald Tetzlaff Pdf

This volume covers the fundamental theory of Cellular Neural Networks as well as their applications in various fields such as science and technology. It contains all 83 papers of the 7th International Workshop on Cellular Neural Networks and their Applications. The workshop follows a biennial series of six workshops consecutively hosted in Budapest (1990), Munich, Rome, Seville, London and Catania (2000). Contents:On the Relationship Between CNNs and PDEs (M Gilli et al.)Moving Object Tracking on Panoramic Images (P Földesy et al.)Emergence of Global Patterns in Connected Neural Networks (T Shimizu)Configurable Multi-Layer CNN-UM Emulator on FPGA (Z Nagy & P Szolgay)A CNN Based System to Blind Sources Separation of MEG Signals (M Bucolo et al.)Time as Coding Space for Information Processing in the Cerebral Cortex (W Singer)Analyzing Multidimensional Neural Activity via CNN-UM (V Gál et al.)Visual Feedback by Using a CNN Chip Prototype System (P Arena et al.)Computational and Computer Complexity of Analogic Cellular Wave Computers (T Roska)Chaotic Phenomena in Quantum Cellular Neural Networks (L Fortuna & D Porto)Fingerprint Image Enhancement Using CNN Gabor-Type Filters (E Saatci & V Tavsanoglu)CNN Based Color Constancy Algorithm (L Török & Á Zarándy)Statistical Error Modeling of CNN-UM Architectures: The Grayscale Case (P Földesy)MEMS, Microsystems and Nanosystems (M E Zaghloul)Texture Segmentation by the 64x64 CNN Chip (T Szirányi)Teaching CNN and Learning by Using CNN (P Arena et al.)Novel Methods and Results in Training Universal Multi-Nested Neurons (R Dogaru et al.)Test-Bed Board for 16x64 Stereo Vision CNN Chip (M Salerno et al.)and other papers Readership: Graduate students, researchers, lecturers and industrialists. Keywords:

Mathematical Morphology and Its Applications to Signal and Image Processing

Author : Jón Atli Benediktsson,Jocelyn Chanussot,Laurent Najman,Hugues Talbot
Publisher : Springer
Page : 754 pages
File Size : 41,5 Mb
Release : 2015-05-15
Category : Computers
ISBN : 9783319187204

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Mathematical Morphology and Its Applications to Signal and Image Processing by Jón Atli Benediktsson,Jocelyn Chanussot,Laurent Najman,Hugues Talbot Pdf

This book contains the thoroughly refereed proceedings of the 12th International Symposium on Mathematical Morphology, ISMM 2015 held in Reykjavik, Iceland, in May 2015. The 62 revised full papers were carefully reviewed and selected from 72 submissions. The papers are organized in topical sections on evaluations and applications; hierarchies; color, multivalued and orientation fields; optimization, differential calculus and probabilities; topology and discrete geometry; and algorithms and implementation.

Applications of Functional Analysis and Operator Theory

Author : V. Hutson,J. Pym,M. Cloud
Publisher : Elsevier
Page : 442 pages
File Size : 43,6 Mb
Release : 2005-02-08
Category : Mathematics
ISBN : 9780080527314

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Applications of Functional Analysis and Operator Theory by V. Hutson,J. Pym,M. Cloud Pdf

Functional analysis is a powerful tool when applied to mathematical problems arising from physical situations. The present book provides, by careful selection of material, a collection of concepts and techniques essential for the modern practitioner. Emphasis is placed on the solution of equations (including nonlinear and partial differential equations). The assumed background is limited to elementary real variable theory and finite-dimensional vector spaces. Provides an ideal transition between introductory math courses and advanced graduate study in applied mathematics, the physical sciences, or engineering Gives the reader a keen understanding of applied functional analysis, building progressively from simple background material to the deepest and most significant results Introduces each new topic with a clear, concise explanation Includes numerous examples linking fundamental principles with applications Solidifies the reader's understanding with numerous end-of-chapter problems

Linear Operators and their Spectra

Author : E. Brian Davies
Publisher : Cambridge University Press
Page : 436 pages
File Size : 52,8 Mb
Release : 2007-04-26
Category : Mathematics
ISBN : 9781139464338

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Linear Operators and their Spectra by E. Brian Davies Pdf

This wide ranging but self-contained account of the spectral theory of non-self-adjoint linear operators is ideal for postgraduate students and researchers, and contains many illustrative examples and exercises. Fredholm theory, Hilbert-Schmidt and trace class operators are discussed, as are one-parameter semigroups and perturbations of their generators. Two chapters are devoted to using these tools to analyze Markov semigroups. The text also provides a thorough account of the new theory of pseudospectra, and presents the recent analysis by the author and Barry Simon of the form of the pseudospectra at the boundary of the numerical range. This was a key ingredient in the determination of properties of the zeros of certain orthogonal polynomials on the unit circle. Finally, two methods, both very recent, for obtaining bounds on the eigenvalues of non-self-adjoint Schrodinger operators are described. The text concludes with a description of the surprising spectral properties of the non-self-adjoint harmonic oscillator.

Philosophic Foundations of Quantum Mechanics

Author : Hans Reichenbach
Publisher : Courier Corporation
Page : 208 pages
File Size : 47,9 Mb
Release : 2012-06-19
Category : Science
ISBN : 9780486150109

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Philosophic Foundations of Quantum Mechanics by Hans Reichenbach Pdf

Noted philosopher offers a philosophical interpretation of quantum physics that reviews the basics of quantum mechanics and outlines their mathematical methods, blending philosophical ideas and mathematical formulations to develop a variety of concrete interpretations. 1944 edition.

Basic Classes of Linear Operators

Author : Israel Gohberg,Seymour Goldberg,Marinus Kaashoek
Publisher : Springer Science & Business Media
Page : 448 pages
File Size : 40,6 Mb
Release : 2003-10-24
Category : Mathematics
ISBN : UOM:39076002568678

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Basic Classes of Linear Operators by Israel Gohberg,Seymour Goldberg,Marinus Kaashoek Pdf

The present book is an expanded and enriched version ofthe textBasicOperator Theory, written by the first two authors more than twenty years ago. Since then the three ofus have used the basic operator theory text in various courses. This experience motivated us to update and improve the old text by including a wider variety ofbasic classes ofoperators and their applications. The present book has also been written in such a way that it can serve as an introduction to our previous booksClassesofLinearOperators, Volumes I and II. We view the three books as a unit. We gratefully acknowledge the support of the mathematical departments of Tel-Aviv University, the University of Maryland at College Park, and the Vrije Universiteit atAmsterdam. The generous support ofthe Silver Family Foundation is highly appreciated. Amsterdam, November 2002 The authors Introduction This elementary text is an introduction to functional analysis, with a strong emphasis on operator theory and its applications. It is designed for graduate and senior undergraduate students in mathematics, science, engineering, and other fields.

Linear Algebra and Linear Operators in Engineering

Author : H. Ted Davis,Kendall T. Thomson
Publisher : Elsevier
Page : 561 pages
File Size : 49,6 Mb
Release : 2000-07-12
Category : Mathematics
ISBN : 9780080510248

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Linear Algebra and Linear Operators in Engineering by H. Ted Davis,Kendall T. Thomson Pdf

Designed for advanced engineering, physical science, and applied mathematics students, this innovative textbook is an introduction to both the theory and practical application of linear algebra and functional analysis. The book is self-contained, beginning with elementary principles, basic concepts, and definitions. The important theorems of the subject are covered and effective application tools are developed, working up to a thorough treatment of eigenanalysis and the spectral resolution theorem. Building on a fundamental understanding of finite vector spaces, infinite dimensional Hilbert spaces are introduced from analogy. Wherever possible, theorems and definitions from matrix theory are called upon to drive the analogy home. The result is a clear and intuitive segue to functional analysis, culminating in a practical introduction to the functional theory of integral and differential operators. Numerous examples, problems, and illustrations highlight applications from all over engineering and the physical sciences. Also included are several numerical applications, complete with Mathematica solutions and code, giving the student a "hands-on" introduction to numerical analysis. Linear Algebra and Linear Operators in Engineering is ideally suited as the main text of an introductory graduate course, and is a fine instrument for self-study or as a general reference for those applying mathematics. Contains numerous Mathematica examples complete with full code and solutions Provides complete numerical algorithms for solving linear and nonlinear problems Spans elementary notions to the functional theory of linear integral and differential equations Includes over 130 examples, illustrations, and exercises and over 220 problems ranging from basic concepts to challenging applications Presents real-life applications from chemical, mechanical, and electrical engineering and the physical sciences

Signal Processing in Radar Systems

Author : Vyacheslav Tuzlukov
Publisher : CRC Press
Page : 635 pages
File Size : 41,8 Mb
Release : 2017-12-19
Category : Technology & Engineering
ISBN : 9781351833776

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Signal Processing in Radar Systems by Vyacheslav Tuzlukov Pdf

An essential task in radar systems is to find an appropriate solution to the problems related to robust signal processing and the definition of signal parameters. Signal Processing in Radar Systems addresses robust signal processing problems in complex radar systems and digital signal processing subsystems. It also tackles the important issue of defining signal parameters. The book presents problems related to traditional methods of synthesis and analysis of the main digital signal processing operations. It also examines problems related to modern methods of robust signal processing in noise, with a focus on the generalized approach to signal processing in noise under coherent filtering. In addition, the book puts forth a new problem statement and new methods to solve problems of adaptation and control by functioning processes. Taking a systems approach to designing complex radar systems, it offers readers guidance in solving optimization problems. Organized into three parts, the book first discusses the main design principles of the modern robust digital signal processing algorithms used in complex radar systems. The second part covers the main principles of computer system design for these algorithms and provides real-world examples of systems. The third part deals with experimental measurements of the main statistical parameters of stochastic processes. It also defines their estimations for robust signal processing in complex radar systems. Written by an internationally recognized professor and expert in signal processing, this book summarizes investigations carried out over the past 30 years. It supplies practitioners, researchers, and students with general principles for designing the robust digital signal processing algorithms employed by complex radar systems.