Applications Of Functional Analysis And Operator Theory

Author : V. Hutson,J. Pym,M. Cloud
Publisher : Elsevier
Page : 432 pages
File Size : 54,9 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 : M. Amélia Bastos,Luís Castro,Alexei Yu. Karlovich
Publisher : Springer Nature
Page : 654 pages
File Size : 48,5 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 : Vadim Adamyan,Yu.M. Berezansky,Israel Gohberg,Myroslav L. Gorbachuk,Valentyna Gorbachuk,Anatoly N. Kochubei,Heinz Langer,Gennadi Popov
Publisher : Springer Science & Business Media
Page : 490 pages
File Size : 50,6 Mb
Release : 2009-08-29
Category : Mathematics
ISBN : 9783764399191

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Modern Analysis and Applications by Vadim Adamyan,Yu.M. Berezansky,Israel Gohberg,Myroslav L. Gorbachuk,Valentyna Gorbachuk,Anatoly N. Kochubei,Heinz Langer,Gennadi Popov Pdf

This is the first of two volumes containing peer-reviewed research and survey papers based on talks at the International Conference on Modern Analysis and Applications. The papers describe the contemporary development of subjects influenced by Mark Krein.

Author : P. K. Jain,Khalil Ahmad,Om P. Ahuja
Publisher : New Age International
Page : 340 pages
File Size : 47,9 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 : Manfred Einsiedler,Thomas Ward
Publisher : Springer
Page : 614 pages
File Size : 46,5 Mb
Release : 2017-11-21
Category : Mathematics
ISBN : 9783319585406

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Functional Analysis, Spectral Theory, and Applications by Manfred Einsiedler,Thomas Ward Pdf

This textbook provides a careful treatment of functional analysis and some of its applications in analysis, number theory, and ergodic theory. In addition to discussing core material in functional analysis, the authors cover more recent and advanced topics, including Weyl’s law for eigenfunctions of the Laplace operator, amenability and property (T), the measurable functional calculus, spectral theory for unbounded operators, and an account of Tao’s approach to the prime number theorem using Banach algebras. The book further contains numerous examples and exercises, making it suitable for both lecture courses and self-study. Functional Analysis, Spectral Theory, and Applications is aimed at postgraduate and advanced undergraduate students with some background in analysis and algebra, but will also appeal to everyone with an interest in seeing how functional analysis can be applied to other parts of mathematics.

Author : Maria Amélia Bastos,Israel Gohberg,Amarino Brites Lebre,Frank-Olme Speck
Publisher : Springer Science & Business Media
Page : 437 pages
File Size : 40,9 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 : Hans Wilhelm Alt
Publisher : Springer
Page : 435 pages
File Size : 51,5 Mb
Release : 2016-07-06
Category : Mathematics
ISBN : 9781447172802

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Linear Functional Analysis by Hans Wilhelm Alt Pdf

This book gives an introduction to Linear Functional Analysis, which is a synthesis of algebra, topology, and analysis. In addition to the basic theory it explains operator theory, distributions, Sobolev spaces, and many other things. The text is self-contained and includes all proofs, as well as many exercises, most of them with solutions. Moreover, there are a number of appendices, for example on Lebesgue integration theory. A complete introduction to the subject, Linear Functional Analysis will be particularly useful to readers who want to quickly get to the key statements and who are interested in applications to differential equations.

Author : J. J. Grobler,L.E. Labuschagne,Manfred Möller
Publisher : Springer Science & Business Media
Page : 294 pages
File Size : 44,5 Mb
Release : 2009-12-24
Category : Mathematics
ISBN : 9783034601740

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Operator Algebras, Operator Theory and Applications by J. J. Grobler,L.E. Labuschagne,Manfred Möller Pdf

This volume contains the proceedings of the eighteenth International Workshop on Operator Theory and Applications (IWOTA), hosted by the Unit for Business Mathematics and Informatics of North-West University, Potchefstroom, South Africa from July 3 to 6, 2007. The conference (as well as these proceedings) was dedicated to Professors Joseph A. Ball and Marinus M. Kaashoek on the occasion of their 60th and 70th birthdays, respectively. This conference had a particular focus on Von Neumann algebras at the interface of operator theory with functional analysis and on applications of operator theory to differential equations.

Author : Yurij M. Berezansky,Zinovij G. Sheftel,Georgij F. Us
Publisher : Birkhäuser
Page : 443 pages
File Size : 47,7 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 : Michael A. Dritschel
Publisher : Springer Science & Business Media
Page : 388 pages
File Size : 54,8 Mb
Release : 2007-06-25
Category : Mathematics
ISBN : 9783764379803

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The Extended Field of Operator Theory by Michael A. Dritschel Pdf

This volume contains contributions originating from the International Workshop on Operator Theory and Its Applications (IWOTA) held in Newcastle upon Tyne in July 2004. The articles expertly cover a broad range of material at the cutting edge of functional analysis and its applications. The works are written by world authorities in their specialities.

Author : I. Gohberg,J.W. Helton,Leiba Rodman
Publisher : Birkhäuser
Page : 528 pages
File Size : 41,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783034892841

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Contributions to Operator Theory and its Applications by I. Gohberg,J.W. Helton,Leiba Rodman Pdf

Author : Haim Brezis
Publisher : Springer Science & Business Media
Page : 600 pages
File Size : 43,6 Mb
Release : 2010-11-02
Category : Mathematics
ISBN : 9780387709147

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Functional Analysis, Sobolev Spaces and Partial Differential Equations by Haim Brezis Pdf

This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list.

Author : Ivan G. Todorov,Lyudmila Turowska
Publisher : Springer Science & Business Media
Page : 294 pages
File Size : 52,5 Mb
Release : 2013-10-25
Category : Mathematics
ISBN : 9783034805025

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Algebraic Methods in Functional Analysis by Ivan G. Todorov,Lyudmila Turowska Pdf

This volume comprises the proceedings of the Conference on Operator Theory and its Applications held in Gothenburg, Sweden, April 26-29, 2011. The conference was held in honour of Professor Victor Shulman on the occasion of his 65th birthday. The papers included in the volume cover a large variety of topics, among them the theory of operator ideals, linear preservers, C*-algebras, invariant subspaces, non-commutative harmonic analysis, and quantum groups, and reflect recent developments in these areas. The book consists of both original research papers and high quality survey articles, all of which were carefully refereed. ​

Author : Joseph Muscat
Publisher : Springer Nature
Page : 462 pages
File Size : 41,6 Mb
Release : 2024-06-06
Category : Electronic
ISBN : 9783031275371

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Functional Analysis by Joseph Muscat Pdf

Author : Bruno de Malafosse,Eberhard Malkowsky,Vladimir Rakočević
Publisher : Springer Nature
Page : 379 pages
File Size : 53,7 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.