Advances In Functional Analysis And Operator Theory

Author : Eberhard Malkowsky,Vladimir Rakočević
Publisher : CRC Press
Page : 446 pages
File Size : 47,9 Mb
Release : 2019-02-25
Category : Mathematics
ISBN : 9780429809552

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Advanced Functional Analysis by Eberhard Malkowsky,Vladimir Rakočević Pdf

Functional analysis and operator theory are widely used in the description, understanding and control of dynamical systems and natural processes in physics, chemistry, medicine and the engineering sciences. Advanced Functional Analysis is a self-contained and comprehensive reference for advanced functional analysis and can serve as a guide for related research. The book can be used as a textbook in advanced functional analysis, which is a modern and important field in mathematics, for graduate and postgraduate courses and seminars at universities. At the same time, it enables the interested readers to do their own research. Features Written in a concise and fluent style Covers a broad range of topics Includes related topics from research

Author : M. Amélia Bastos,Luís Castro,Alexei Yu. Karlovich
Publisher : Springer Nature
Page : 654 pages
File Size : 51,6 Mb
Release : 2021-03-31
Category : Mathematics
ISBN : 9783030519452

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Operator Theory, Functional Analysis and Applications by M. Amélia Bastos,Luís Castro,Alexei Yu. Karlovich Pdf

This book presents 30 articles on the topic areas discussed at the 30th “International Workshop on Operator Theory and its Applications”, held in Lisbon in July 2019. The contributions include both expository essays and original research papers reflecting recent advances in the traditional IWOTA areas and emerging adjacent fields, as well as the applications of Operator Theory and Functional Analysis. The topics range from C*–algebras and Banach *–algebras, Sturm-Liouville theory, integrable systems, dilation theory, frame theory, Toeplitz, Hankel, and singular integral operators, to questions from lattice, group and matrix theories, complex analysis, harmonic analysis, and function spaces. Given its scope, the book is chiefly intended for researchers and graduate students in the areas of Operator Theory, Functional Analysis, their applications and adjacent fields.

Author : P. K. Jain,Khalil Ahmad,Om P. Ahuja
Publisher : New Age International
Page : 340 pages
File Size : 40,9 Mb
Release : 1995
Category : Functional analysis
ISBN : 812240801X

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Functional Analysis by P. K. Jain,Khalil Ahmad,Om P. Ahuja Pdf

The Book Is Intended To Serve As A Textbook For An Introductory Course In Functional Analysis For The Senior Undergraduate And Graduate Students. It Can Also Be Useful For The Senior Students Of Applied Mathematics, Statistics, Operations Research, Engineering And Theoretical Physics. The Text Starts With A Chapter On Preliminaries Discussing Basic Concepts And Results Which Would Be Taken For Granted Later In The Book. This Is Followed By Chapters On Normed And Banach Spaces, Bounded Linear Operators, Bounded Linear Functionals. The Concept And Specific Geometry Of Hilbert Spaces, Functionals And Operators On Hilbert Spaces And Introduction To Spectral Theory. An Appendix Has Been Given On Schauder Bases.The Salient Features Of The Book Are: * Presentation Of The Subject In A Natural Way * Description Of The Concepts With Justification * Clear And Precise Exposition Avoiding Pendantry * Various Examples And Counter Examples * Graded Problems Throughout Each ChapterNotes And Remarks Within The Text Enhances The Utility Of The Book For The Students.

Author : Marat V. Markin,Igor V. Nikolaev,Carsten Trunk
Publisher : American Mathematical Society
Page : 250 pages
File Size : 48,5 Mb
Release : 2024-04-09
Category : Mathematics
ISBN : 9781470473051

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Advances in Functional Analysis and Operator Theory by Marat V. Markin,Igor V. Nikolaev,Carsten Trunk Pdf

This volume contains the proceedings of the AMS-EMS-SMF Special Session on Advances in Functional Analysis and Operator Theory, held July 18–22, 2022, at the Université de Grenoble-Alpes, Grenoble, France. The papers reflect the modern interplay between differential equations, functional analysis, operator algebras, and their applications from the dynamics to quantum groups to number theory. Among the topics discussed are the Sturm-Liouville and boundary value problems, axioms of quantum mechanics, $C^{*}$-algebras and symbolic dynamics, von Neumann algebras and low-dimensional topology, quantum permutation groups, the Jordan algebras, and the Kadison–Singer transforms.

Author : V. Hutson,J. Pym,M. Cloud
Publisher : Elsevier
Page : 442 pages
File Size : 52,9 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

Author : Jussi Behrndt,Karl-Heinz Förster,Carsten Trunk
Publisher : Springer Science & Business Media
Page : 308 pages
File Size : 42,5 Mb
Release : 2010-01-11
Category : Mathematics
ISBN : 9783034601801

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Recent Advances in Operator Theory in Hilbert and Krein Spaces by Jussi Behrndt,Karl-Heinz Förster,Carsten Trunk Pdf

The present book is a memorial volume devoted to Peter Jonas. It displays recent advances in modern operator theory in Hilbert and Krein spaces and contains a collection of original research papers written by many well-known specialists in this field. The papers contain new results for problems close to the area of research of Peter Jonas: Spectral and perturbation problems for operators in inner product spaces, generalized Nevanlinna functions and definitizable functions, scattering theory, extension theory for symmetric operators, fixed points, hyperbolic matrix polynomials, moment problems, indefinite spectral and Sturm-Liouville problems, and invariant subspace problems. This book is written for researchers and postgraduates interested in functional analysis and differential operators.

Author : Maria Amélia Bastos,Israel Gohberg,Amarino Brites Lebre,Frank-Olme Speck
Publisher : Springer Science & Business Media
Page : 437 pages
File Size : 42,5 Mb
Release : 2008-05-27
Category : Mathematics
ISBN : 9783764386849

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Operator Algebras, Operator Theory and Applications by Maria Amélia Bastos,Israel Gohberg,Amarino Brites Lebre,Frank-Olme Speck Pdf

This book is composed of three survey lecture courses and some twenty invited research papers presented to WOAT 2006 - the International Summer School and Workshop on Operator Algebras, Operator Theory and Applications, held at Lisbon in September 2006. The volume reflects recent developments in the area of operator algebras and their interaction with research fields in complex analysis and operator theory. The book is aimed at postgraduates and researchers in these fields.

Author : Bipan Hazarika
Publisher : Springer Nature
Page : 319 pages
File Size : 51,7 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 9789819992072

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Advances in Functional Analysis and Fixed-Point Theory by Bipan Hazarika Pdf

Author : Hari Bercovici,Elias Katsoulis,David Kerr,Dan Timotin
Publisher : CRC Press
Page : 167 pages
File Size : 45,5 Mb
Release : 2017-08-07
Category : Mathematics
ISBN : 9781317974611

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Recent Advances in Operator Theory and Operator Algebras by Hari Bercovici,Elias Katsoulis,David Kerr,Dan Timotin Pdf

This book will contain lectures given by four eminent speakers at the Recent Advances in Operator Theory and Operator Algebras conference held at the Indian Statistical Institute, Bangalore, India in 2014. The main aim of this book is to bring together various results in one place with cogent introduction and references for further study.

Author : Niels Jacob,Kristian P Evans
Publisher : World Scientific
Page : 854 pages
File Size : 43,6 Mb
Release : 2020-01-22
Category : Mathematics
ISBN : 9789811215513

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Course In Analysis, A - Vol V: Functional Analysis, Some Operator Theory, Theory Of Distributions by Niels Jacob,Kristian P Evans Pdf

The book is an advanced textbook and a reference text in functional analysis in the wide sense. It provides advanced undergraduate and graduate students with a coherent introduction to the field, i.e. the basic principles, and leads them to more demanding topics such as the spectral theorem, Choquet theory, interpolation theory, analysis of operator semigroups, Hilbert-Schmidt operators and Hille-Tamarkin operators, topological vector spaces and distribution theory, fundamental solutions, or the Schwartz kernel theorem.All topics are treated in great detail and the text provided is suitable for self-studying the subject. This is enhanced by more than 270 problems solved in detail. At the same time the book is a reference text for any working mathematician needing results from functional analysis, operator theory or the theory of distributions.Embedded as Volume V in the Course of Analysis, readers will have a self-contained treatment of a key area in modern mathematics. A detailed list of references invites to further studies.

Author : Carl M. Pearcy
Publisher : American Mathematical Soc.
Page : 82 pages
File Size : 54,7 Mb
Release : 1978
Category : Mathematics
ISBN : 9780821816868

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Some Recent Developments in Operator Theory by Carl M. Pearcy Pdf

Surveys some of the remarkable developments that have taken place in operator theory over the years. This monograph is largely expository and should be accessible to those who have had a course in functional analysis and operator theory.

Author : Daniel Alpay,Victor Vinnikov
Publisher : Birkhäuser
Page : 568 pages
File Size : 43,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034882477

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Operator Theory, System Theory and Related Topics by Daniel Alpay,Victor Vinnikov Pdf

This volume presents the refereed proceedings of the Conference in Operator The ory in Honour of Moshe Livsic 80th Birthday, held June 29 to July 4, 1997, at the Ben-Gurion University of the Negev (Beer-Sheva, Israel) and at the Weizmann In stitute of Science (Rehovot, Israel). The volume contains papers in operator theory and its applications (understood in a very wide sense), many of them reflecting, 1 directly or indirectly, a profound impact of the work of Moshe Livsic. Moshe (Mikhail Samuilovich) Livsic was born on July 4, 1917, in the small town of Pokotilova near Uman, in the province of Kiev in the Ukraine; his family moved to Odessa when he was four years old. In 1933 he enrolled in the Department of Physics and Mathematics at the Odessa State University, where he became a student of M. G. Krein and an active participant in Krein's seminar - one of the centres where the ideas and methods of functional analysis and operator theory were being developed. Besides M. G. Krein, M. S. Livsic was strongly influenced B. Va. Levin, an outstanding specialist in the theory of analytic functions. A by deep understanding of operator theory as well as function theory and a penetrating search of connections between the two, were to become one of the landmarks of M. S. Livsic's work. M. S. Livsic defended his Ph. D.

Author : Bruno de Malafosse,Eberhard Malkowsky,Vladimir Rakočević
Publisher : Springer Nature
Page : 379 pages
File Size : 55,6 Mb
Release : 2021-01-19
Category : Mathematics
ISBN : 9789811597428

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Operators Between Sequence Spaces and Applications by Bruno de Malafosse,Eberhard Malkowsky,Vladimir Rakočević Pdf

This book presents modern methods in functional analysis and operator theory along with their applications in recent research. The book also deals with the solvability of infinite systems of linear equations in various sequence spaces. It uses the classical sequence spaces, generalized Cesaro and difference operators to obtain calculations and simplifications of complicated spaces involving these operators. In order to make it self-contained, comprehensive and of interest to a larger mathematical community, the authors have presented necessary concepts with results for advanced research topics. This book is intended for graduate and postgraduate students, teachers and researchers as a basis for further research, advanced lectures and seminars.

Author : Yurij M. Berezansky,Zinovij G. Sheftel,Georgij F. Us
Publisher : Birkhäuser
Page : 443 pages
File Size : 46,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034891851

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Functional Analysis by Yurij M. Berezansky,Zinovij G. Sheftel,Georgij F. Us Pdf

"Functional Analysis" is a comprehensive, 2-volume treatment of a subject lying at the core of modern analysis and mathematical physics. The first volume reviews basic concepts such as the measure, the integral, Banach spaces, bounded operators and generalized functions. Volume II moves on to more advanced topics including unbounded operators, spectral decomposition, expansion in generalized eigenvectors, rigged spaces, and partial differential operators. This text provides students of mathematics and physics with a clear introduction into the above concepts, with the theory well illustrated by a wealth of examples. Researchers will appreciate it as a useful reference manual.

Author : Tsuyoshi Ando,Il Bong Jung,Woo Young Lee
Publisher : Birkhäuser
Page : 248 pages
File Size : 44,8 Mb
Release : 2009-08-29
Category : Mathematics
ISBN : 3764398817

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Recent Advances in Operator Theory and Applications by Tsuyoshi Ando,Il Bong Jung,Woo Young Lee Pdf