Functional Analysis And Operator Theory

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Functional Analysis

Author : P. K. Jain
Publisher : New Age International
ISBN 13 : 9788122408010
Total Pages : 340 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Functional Analysis by : P. K. Jain

Download or read book Functional Analysis written by P. K. Jain and published by New Age International. This book was released on 1995 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Applications of Functional Analysis and Operator Theory

Author : V. Hutson
Publisher : Elsevier
ISBN 13 : 0080527310
Total Pages : 442 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Applications of Functional Analysis and Operator Theory by : V. Hutson

Download or read book Applications of Functional Analysis and Operator Theory written by V. Hutson and published by Elsevier. This book was released on 2005-02-08 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Operator Theory, Functional Analysis and Applications

Author : M. Amélia Bastos
Publisher : Springer Nature
ISBN 13 : 3030519457
Total Pages : 654 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Operator Theory, Functional Analysis and Applications by : M. Amélia Bastos

Download or read book Operator Theory, Functional Analysis and Applications written by M. Amélia Bastos and published by Springer Nature. This book was released on 2021-03-31 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Operator Theory I

Author : A. Brown
Publisher : Springer
ISBN 13 :
Total Pages : 504 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Introduction to Operator Theory I by : A. Brown

Download or read book Introduction to Operator Theory I written by A. Brown and published by Springer. This book was released on 1977-12-19 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book was written expressly to serve as a textbook for a one- or two-semester introductory graduate course in functional analysis. Its (soon to be published) companion volume, Operators on Hilbert Space, is in tended to be used as a textbook for a subsequent course in operator theory. In writing these books we have naturally been concerned with the level of preparation of the potential reader, and, roughly speaking, we suppose him to be familiar with the approximate equivalent of a one-semester course in each of the following areas: linear algebra, general topology, complex analysis, and measure theory. Experience has taught us, however, that such a sequence of courses inevitably fails to treat certain topics that are important in the study of functional analysis and operator theory. For example, tensor products are frequently not discussed in a first course in linear algebra. Likewise for the topics of convergence of nets and the Baire category theorem in a course in topology, and the connections between measure and topology in a course in measure theory. For this reason we have chosen to devote the first ten chapters of this volume (entitled Part I) to topics of a preliminary nature. In other words, Part I summarizes in considerable detail what a student should (and eventually must) know in order to study functional analysis and operator theory successfully.

A Course in Operator Theory

Author : John B. Conway
Publisher : American Mathematical Soc.
ISBN 13 : 0821820656
Total Pages : 390 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis A Course in Operator Theory by : John B. Conway

Download or read book A Course in Operator Theory written by John B. Conway and published by American Mathematical Soc.. This book was released on 2000 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Operator theory is a significant part of many important areas of modern mathematics: functional analysis, differential equations, index theory, representation theory, mathematical physics, and more. This text covers the central themes of operator theory, presented with the excellent clarity and style that readers have come to associate with Conway's writing. Early chapters introduce and review material on $C^*$-algebras, normal operators, compact operators, and non-normal operators. Some of the major topics covered are the spectral theorem, the functional calculus, and the Fredholm index. In addition, some deep connections between operator theory and analytic functions are presented. Later chapters cover more advanced topics, such as representations of $C^*$-algebras, compact perturbations, and von Neumann algebras. Major results, such as the Sz.-Nagy Dilation Theorem, the Weyl-von Neumann-Berg Theorem, and the classification of von Neumann algebras, are covered, as is a treatment of Fredholm theory. The last chapter gives an introduction to reflexive subspaces, which along with hyperreflexive spaces, are one of the more successful episodes in the modern study of asymmetric algebras. Professor Conway's authoritative treatment makes this a compelling and rigorous course text, suitable for graduate students who have had a standard course in functional analysis.

Lectures in Functional Analysis and Operator Theory

Author : S. K. Berberian
Publisher : Springer
ISBN 13 : 9780387900810
Total Pages : 345 pages
Book Rating : 4.9/5 (8 download)

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Book Synopsis Lectures in Functional Analysis and Operator Theory by : S. K. Berberian

Download or read book Lectures in Functional Analysis and Operator Theory written by S. K. Berberian and published by Springer. This book was released on 2014-04-09 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analysis and Operator Theory

Author : Themistocles M. Rassias
Publisher : Springer
ISBN 13 : 9783030126636
Total Pages : 416 pages
Book Rating : 4.1/5 (266 download)

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Book Synopsis Analysis and Operator Theory by : Themistocles M. Rassias

Download or read book Analysis and Operator Theory written by Themistocles M. Rassias and published by Springer. This book was released on 2020-09-03 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dedicated to Tosio Kato’s 100th birthday, this book contains research and survey papers on a broad spectrum of methods, theories, and problems in mathematics and mathematical physics. Survey papers and in-depth technical papers emphasize linear and nonlinear analysis, operator theory, partial differential equations, and functional analysis including nonlinear evolution equations, the Korteweg–de Vries equation, the Navier–Stokes equation, and perturbation theory of linear operators. The Kato inequality, the Kato type matrix limit theorem, the Howland–Kato commutator problem, the Kato-class of potentials, and the Trotter–Kato product formulae are discussed and analyzed. Graduate students, research mathematicians, and applied scientists will find that this book provides comprehensive insight into the significance of Tosio Kato’s impact to research in analysis and operator theory.

Linear Operator Theory in Engineering and Science

Author : Arch W. Naylor
Publisher : Springer Science & Business Media
ISBN 13 : 9780387950013
Total Pages : 648 pages
Book Rating : 4.9/5 (5 download)

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Book Synopsis Linear Operator Theory in Engineering and Science by : Arch W. Naylor

Download or read book Linear Operator Theory in Engineering and Science written by Arch W. Naylor and published by Springer Science & Business Media. This book was released on 1982 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a unique introduction to the theory of linear operators on Hilbert space. The authors' goal is to present the basic facts of functional analysis in a form suitable for engineers, scientists, and applied mathematicians. Although the Definition-Theorem-Proof format of mathematics is used, careful attention is given to motivation of the material covered and many illustrative examples are presented. First published in 1971, Linear Operator in Engineering and Sciences has since proved to be a popular and very useful textbook.

Operator Theory in Function Spaces

Author : Kehe Zhu
Publisher : American Mathematical Soc.
ISBN 13 : 0821839659
Total Pages : 368 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Operator Theory in Function Spaces by : Kehe Zhu

Download or read book Operator Theory in Function Spaces written by Kehe Zhu and published by American Mathematical Soc.. This book was released on 2007 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers Toeplitz operators, Hankel operators, and composition operators on both the Bergman space and the Hardy space. The setting is the unit disk and the main emphasis is on size estimates of these operators: boundedness, compactness, and membership in the Schatten classes. Most results concern the relationship between operator-theoretic properties of these operators and function-theoretic properties of the inducing symbols. Thus a good portion of the book is devoted to the study of analytic function spaces such as the Bloch space, Besov spaces, and BMOA, whose elements are to be used as symbols to induce the operators we study. The book is intended for both research mathematicians and graduate students in complex analysis and operator theory. The prerequisites are minimal; a graduate course in each of real analysis, complex analysis, and functional analysis should sufficiently prepare the reader for the book. Exercises and bibliographical notes are provided at the end of each chapter. These notes will point the reader to additional results and problems. Kehe Zhu is a professor of mathematics at the State University of New York at Albany. His previous books include Theory of Bergman Spaces (Springer, 2000, with H. Hedenmalm and B. Korenblum) and Spaces of Holomorphic Functions in the Unit Ball (Springer, 2005). His current research interests are holomorphic function spaces and operators acting on them.

A First Course in Functional Analysis

Author : Orr Moshe Shalit
Publisher : CRC Press
ISBN 13 : 1498771629
Total Pages : 257 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis A First Course in Functional Analysis by : Orr Moshe Shalit

Download or read book A First Course in Functional Analysis written by Orr Moshe Shalit and published by CRC Press. This book was released on 2017-03-16 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written as a textbook, A First Course in Functional Analysis is an introduction to basic functional analysis and operator theory, with an emphasis on Hilbert space methods. The aim of this book is to introduce the basic notions of functional analysis and operator theory without requiring the student to have taken a course in measure theory as a prerequisite. It is written and structured the way a course would be designed, with an emphasis on clarity and logical development alongside real applications in analysis. The background required for a student taking this course is minimal; basic linear algebra, calculus up to Riemann integration, and some acquaintance with topological and metric spaces.

A Course in Functional Analysis and Measure Theory

Author : Vladimir Kadets
Publisher : Springer
ISBN 13 : 3319920049
Total Pages : 539 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis A Course in Functional Analysis and Measure Theory by : Vladimir Kadets

Download or read book A Course in Functional Analysis and Measure Theory written by Vladimir Kadets and published by Springer. This book was released on 2018-07-10 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by an expert on the topic and experienced lecturer, this textbook provides an elegant, self-contained introduction to functional analysis, including several advanced topics and applications to harmonic analysis. Starting from basic topics before proceeding to more advanced material, the book covers measure and integration theory, classical Banach and Hilbert space theory, spectral theory for bounded operators, fixed point theory, Schauder bases, the Riesz-Thorin interpolation theorem for operators, as well as topics in duality and convexity theory. Aimed at advanced undergraduate and graduate students, this book is suitable for both introductory and more advanced courses in functional analysis. Including over 1500 exercises of varying difficulty and various motivational and historical remarks, the book can be used for self-study and alongside lecture courses.

Functional Analysis

Author : Yurij M. Berezansky
Publisher : Birkhäuser
ISBN 13 : 3034891857
Total Pages : 443 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Functional Analysis by : Yurij M. Berezansky

Download or read book Functional Analysis written by Yurij M. Berezansky and published by Birkhäuser. This book was released on 2012-12-06 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.

Functional Analysis and Operator Theory

Author : B.S. Yadav
Publisher : Springer
ISBN 13 : 3540470417
Total Pages : 230 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Functional Analysis and Operator Theory by : B.S. Yadav

Download or read book Functional Analysis and Operator Theory written by B.S. Yadav and published by Springer. This book was released on 2006-11-14 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the Contents: A. Lambert: Weighted shifts and composition operators on L2; - A.S.Cavaretta/A.Sharma: Variation diminishing properties and convexityfor the tensor product Bernstein operator; - B.P. Duggal: A note on generalised commutativity theorems in the Schatten norm; - B.S.Yadav/D.Singh/S.Agrawal: De Branges Modules in H2(Ck) of the torus; - D. Sarason: Weak compactness of holomorphic composition operators on H1; - H.Helson/J.E.McCarthy: Continuity of seminorms; - J.A. Siddiqui: Maximal ideals in local Carleman algebras; - J.G. Klunie: Convergence of polynomials with restricted zeros; - J.P. Kahane: On a theorem of Polya; - U.N. Singh: The Carleman-Fourier transform and its applications; - W. Zelasko: Extending seminorms in locally pseudoconvex algebras.

Advanced Functional Analysis

Author : Eberhard Malkowsky
Publisher : CRC Press
ISBN 13 : 0429809549
Total Pages : 532 pages
Book Rating : 4.4/5 (298 download)

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Book Synopsis Advanced Functional Analysis by : Eberhard Malkowsky

Download or read book Advanced Functional Analysis written by Eberhard Malkowsky and published by CRC Press. This book was released on 2019-02-25 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Functional Analysis

Author : Joseph Muscat
Publisher : Springer Nature
ISBN 13 : 3031275373
Total Pages : 462 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Functional Analysis by : Joseph Muscat

Download or read book Functional Analysis written by Joseph Muscat and published by Springer Nature. This book was released on with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt:

C*-Algebras and Operator Theory

Author : Gerald J. Murphy
Publisher : Academic Press
ISBN 13 : 0080924964
Total Pages : 297 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis C*-Algebras and Operator Theory by : Gerald J. Murphy

Download or read book C*-Algebras and Operator Theory written by Gerald J. Murphy and published by Academic Press. This book was released on 2014-06-28 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes a first- or second-year graduate course in operator theory. It is a field that has great importance for other areas of mathematics and physics, such as algebraic topology, differential geometry, and quantum mechanics. It assumes a basic knowledge in functional analysis but no prior acquaintance with operator theory is required.

Operator Theory and Harmonic Analysis

Author : Alexey N. Karapetyants
Publisher : Springer Nature
ISBN 13 : 3030774937
Total Pages : 585 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Operator Theory and Harmonic Analysis by : Alexey N. Karapetyants

Download or read book Operator Theory and Harmonic Analysis written by Alexey N. Karapetyants and published by Springer Nature. This book was released on 2021-09-27 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is part of the collaboration agreement between Springer and the ISAAC society. This is the first in the two-volume series originating from the 2020 activities within the international scientific conference "Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis" (OTHA), Southern Federal University in Rostov-on-Don, Russia. This volume is focused on general harmonic analysis and its numerous applications. The two volumes cover new trends and advances in several very important fields of mathematics, developed intensively over the last decade. The relevance of this topic is related to the study of complex multiparameter objects required when considering operators and objects with variable parameters.