Hausdorff Spectra In Functional Analysis

Author : Eugeny Smirnov
Publisher : Springer Science & Business Media
Page : 230 pages
File Size : 40,9 Mb
Release : 2002-08-09
Category : Mathematics
ISBN : 1852335718

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Hausdorff Spectra in Functional Analysis by Eugeny Smirnov Pdf

Self-contained, and collating for the first time material that has until now only been published in journals - often in Russian - this book will be of interest to functional analysts, especially those with interests in topological vector spaces, and to algebraists concerned with category theory. The closed graph theorem is one of the corner stones of functional analysis, both as a tool for applications and as an object for research. However, some of the spaces which arise in applications and for which one wants closed graph theorems are not of the type covered by the classical closed graph theorem of Banach or its immediate extensions. To remedy this, mathematicians such as Schwartz and De Wilde (in the West) and Rajkov (in the East) have introduced new ideas which have allowed them to establish closed graph theorems suitable for some of the desired applications. In this book, Professor Smirnov uses category theory to provide a very general framework, including the situations discussed by De Wilde, Rajkov and others. General properties of the spaces involved are discussed and applications are provided in measure theory, global analysis and differential equations.

Author : V.S. Sunder
Publisher : Springer Science & Business Media
Page : 260 pages
File Size : 40,8 Mb
Release : 1997
Category : Mathematics
ISBN : 3764358920

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Functional Analysis by V.S. Sunder Pdf

In an elegant and concise fashion, this book presents the concepts of functional analysis required by students of mathematics and physics. It begins with the basics of normed linear spaces and quickly proceeds to concentrate on Hilbert spaces, specifically the spectral theorem for bounded as well as unbounded operators in separable Hilbert spaces. While the first two chapters are devoted to basic propositions concerning normed vector spaces and Hilbert spaces, the third chapter treats advanced topics which are perhaps not standard in a first course on functional analysis. It begins with the Gelfand theory of commutative Banach algebras, and proceeds to the Gelfand-Naimark theorem on commutative C*-algebras. A discussion of representations of C*-algebras follows, and the final section of this chapter is devoted to the Hahn-Hellinger classification of separable representations of commutative C*-algebras. After this detour into operator algebras, the fourth chapter reverts to more standard operator theory in Hilbert space, dwelling on topics such as the spectral theorem for normal operators, the polar decomposition theorem, and the Fredholm theory for compact operators. A brief introduction to the theory of unbounded operators on Hilbert space is given in the fifth and final chapter. There is a voluminous appendix whose purpose is to fill in possible gaps in the reader's background in various areas such as linear algebra, topology, set theory and measure theory. The book is interspersed with many exercises, and hints are provided for the solutions to the more challenging of these.

Author : Prahlad Vaidyanathan
Publisher : Cambridge University Press
Page : 557 pages
File Size : 49,7 Mb
Release : 2023-08-31
Category : Mathematics
ISBN : 9781009243902

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Functional Analysis by Prahlad Vaidyanathan Pdf

This textbook guides graduate students and researchers through the basics of Functional Analysis and the theory of Operator Algebras.

Author : Shozo Koshi
Publisher : World Scientific
Page : 282 pages
File Size : 53,7 Mb
Release : 1991-10-31
Category : Electronic
ISBN : 9789814555920

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Functional Analysis And Related Topics - Proceedings Of The International Symposium by Shozo Koshi Pdf

The objective of this symposium is to discuss the recent developments in the various areas of functional analysis. This volume consists mainly of articles in the fields of topological algebra, Banach spaces, function spaces, harmonic analysis, operator theory and application of functional analysis.

Author : Eberhard Malkowsky,Vladimir Rakočević
Publisher : CRC Press
Page : 446 pages
File Size : 53,8 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 : William Arveson
Publisher : Springer Science & Business Media
Page : 143 pages
File Size : 41,8 Mb
Release : 2006-04-18
Category : Mathematics
ISBN : 9780387215181

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A Short Course on Spectral Theory by William Arveson Pdf

This book presents the basic tools of modern analysis within the context of the fundamental problem of operator theory: to calculate spectra of specific operators on infinite dimensional spaces, especially operators on Hilbert spaces. The tools are diverse, and they provide the basis for more refined methods that allow one to approach problems that go well beyond the computation of spectra: the mathematical foundations of quantum physics, noncommutative K-theory, and the classification of simple C*-algebras being three areas of current research activity which require mastery of the material presented here.

Author : Hans Triebel
Publisher : Springer Science & Business Media
Page : 278 pages
File Size : 49,6 Mb
Release : 2010-10-28
Category : Mathematics
ISBN : 9783034800334

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Fractals and Spectra by Hans Triebel Pdf

This book deals with the symbiotic relationship between the theory of function spaces, fractal geometry, and spectral theory of (fractal) pseudodifferential operators as it has emerged quite recently. Most of the presented material is published here for the first time.

Author : Haim Brezis
Publisher : Springer Science & Business Media
Page : 600 pages
File Size : 42,6 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 : Steven G. Krantz
Publisher : American Mathematical Soc.
Page : 137 pages
File Size : 44,7 Mb
Release : 2013-12-31
Category : Mathematics
ISBN : 9781614442134

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A Guide to Functional Analysis by Steven G. Krantz Pdf

MAA guides series numbering on title page appears as # 49. It should read # 9.

Author : Albert Wilansky
Publisher : Springer
Page : 154 pages
File Size : 42,9 Mb
Release : 1967
Category : Mathematics
ISBN : UOM:39015017326300

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Topics in Functional Analysis by Albert Wilansky Pdf

Author : Nik Weaver
Publisher : World Scientific Publishing Company
Page : 212 pages
File Size : 43,5 Mb
Release : 2013-07-23
Category : Mathematics
ISBN : 9789814508582

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Measure Theory and Functional Analysis by Nik Weaver Pdf

This book provides an introduction to measure theory and functional analysis suitable for a beginning graduate course, and is based on notes the author had developed over several years of teaching such a course. It is unique in placing special emphasis on the separable setting, which allows for a simultaneously more detailed and more elementary exposition, and for its rapid progression into advanced topics in the spectral theory of families of self-adjoint operators. The author's notion of measurable Hilbert bundles is used to give the spectral theorem a particularly elegant formulation not to be found in other textbooks on the subject. Request Inspection Copy

Author : Charles Swartz
Publisher : CRC Press
Page : 624 pages
File Size : 47,5 Mb
Release : 1992-01-28
Category : Mathematics
ISBN : 0824786432

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An Introduction to Functional Analysis by Charles Swartz Pdf

Based on an introductory, graduate-level course given by Swartz at New Mexico State U., this textbook, written for students with a moderate knowledge of point set topology and integration theory, explains the principles and theories of functional analysis and their applications, showing the interpla

Author : Arunava Mukherjea,K. Pothoven
Publisher : Springer Science & Business Media
Page : 283 pages
File Size : 52,9 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9781489945587

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Real and Functional Analysis by Arunava Mukherjea,K. Pothoven Pdf

Author : Niels Jacob,Kristian P Evans
Publisher : World Scientific
Page : 854 pages
File Size : 46,7 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 : A Lau,I Tweddle
Publisher : CRC Press
Page : 284 pages
File Size : 46,6 Mb
Release : 1995-05-15
Category : Mathematics
ISBN : 0582257778

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Topological Vector Spaces, Algebras and Related Areas by A Lau,I Tweddle Pdf

This volume contains the proceedings of an international conference held to mark the retirement of Professor Taqdir Husain from McMaster University. The contributions, covering topics such as topological vector spaces, topological algebras and related areas, reflect Husain's research interests and present surveys and new research in the topics of the conference.