Functional Analysis
  • Author : R.E. Edwards
  • Release Date : 25 October 2012
  • Publisher : Courier Corporation
  • Genre : Mathematics
  • Pages : 800
  • ISBN 13 : 9780486145105

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Book excerpt: Massive compilation offers detailed, in-depth discussions of vector spaces, Hahn-Banach theorem, fixed-point theorems, duality theory, Krein-Milman theorem, theory of compact operators, much more. Many examples and exercises. 32-page bibliography. 1965 edition.

Functional Analysis

Functional Analysis

Author : R.E. Edwards
Publisher : Courier Corporation
Genre : Mathematics
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Massive compilation offers detailed, in-depth discussions of vector spaces, Hahn-Banach theorem, fixed-point theorems, duality theory, Krein-Milman theorem, theory of compact operators, much more. Many examples and exercises. 32-page bibliography. 1965 edition....

Nonlinear Functional Analysis

Nonlinear Functional Analysis

Author : Klaus Deimling
Publisher : Springer Science & Business Media
Genre : Mathematics
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topics. However, only a modest preliminary knowledge is needed. In the first chapter, where we introduce an important topological concept, the so-called topological degree for continuous maps from subsets ofRn into Rn, you need not know anything about functional analysis. Starting with Chapter 2, where infinite dimensions first appear, one should ...

Functional Analysis

Functional Analysis

Author : Peter D. Lax
Publisher : John Wiley & Sons
Genre : Mathematics
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Includes sections on the spectral resolution and spectralrepresentation of self adjoint operators, invariant subspaces,strongly continuous one-parameter semigroups, the index ofoperators, the trace formula of Lidskii, the Fredholm determinant,and more. * Assumes prior knowledge of Naive set theory, linear algebra,point set topology, basic complex variable, and realvariables. * Includes an ...

Functional Analysis

Functional Analysis

Author : Theo Bühler,Dietmar A. Salamon
Publisher : American Mathematical Soc.
Genre : Functional analysis
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It begins in Chapter 1 with an introduction to the necessary foundations, including the Arzelà–Ascoli theorem, elementary Hilbert space theory, and the Baire Category Theorem. Chapter 2 develops the three fundamental principles of functional analysis (uniform boundedness, open mapping theorem, Hahn–Banach theorem) and discusses reflexive spaces and the James space. ...

Introductory Functional Analysis with Applications

Introductory Functional Analysis with Applications

Author : Erwin Kreyszig
Publisher : John Wiley & Sons
Genre : Mathematics
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KREYSZIG The Wiley Classics Library consists of selected books originally published by John Wiley & Sons that have become recognized classics in their respective fields. With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians ...

Functional Analysis

Functional Analysis

Author : Joseph Muscat
Publisher : Springer
Genre : Mathematics
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This textbook is an introduction to functional analysis suited to final year undergraduates or beginning graduates. Its various applications of Hilbert spaces, including least squares approximation, inverse problems, and Tikhonov regularization, should appeal not only to mathematicians interested in applications, but also to researchers in related fields. Functional Analysis adopts ...

Functional Analysis

Functional Analysis

Author : P. K. Jain,Khalil Ahmad,Om P. Ahuja
Publisher : New Age International
Genre : Functional analysis
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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 ...

Functional Analysis

Functional Analysis

Author : George Bachman,Lawrence Narici
Publisher : Courier Corporation
Genre : Mathematics
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Text covers introduction to inner-product spaces, normed, metric spaces, and topological spaces; complete orthonormal sets, the Hahn-Banach Theorem and its consequences, and many other related subjects. 1966 edition....

Advanced Functional Analysis

Advanced Functional Analysis

Author : Eberhard Malkowsky,Vladimir Rakočević
Publisher : CRC Press
Genre : Mathematics
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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. ...

Linear Functional Analysis

Linear Functional Analysis

Author : Bryan Rynne,M.A. Youngson
Publisher : Springer Science & Business Media
Genre : Mathematics
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This book provides an introduction to the ideas and methods of linear func tional analysis at a level appropriate to the final year of an undergraduate course at a British university. The prerequisites for reading it are a standard undergraduate knowledge of linear algebra and real analysis (including the the ...

Functional Analysis for Probability and Stochastic Processes

Functional Analysis for Probability and Stochastic Processes

Author : Adam Bobrowski
Publisher : Cambridge University Press
Genre : Mathematics
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This text presents selected areas of functional analysis that can facilitate an understanding of ideas in probability and stochastic processes. Topics covered include basic Hilbert and Banach spaces, weak topologies and Banach algebras, and the theory ofsemigroups of bounded linear operators....

Functional Analysis

Functional Analysis

Author : Yuli Eidelman,Vitali D. Milman,Antonis Tsolomitis
Publisher : American Mathematical Soc.
Genre : Mathematics
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The goal of this textbook is to provide an introduction to the methods and language of functional analysis, including Hilbert spaces, Fredholm theory for compact operators, and spectral theory of self-adjoint operators. It also presents the basic theorems and methods of abstract functional analysis and a few applications of these ...

Functional Analysis

Functional Analysis

Author : Sergei Ovchinnikov
Publisher : Springer
Genre : Mathematics
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This concise text provides a gentle introduction to functional analysis. Chapters cover essential topics such as special spaces, normed spaces, linear functionals, and Hilbert spaces. Numerous examples and counterexamples aid in the understanding of key concepts, while exercises at the end of each chapter provide ample opportunities for practice with ...

Functional Analysis

Functional Analysis

Author : S. Kesavan
Publisher : Springer
Genre : Mathematics
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The material presented in this book is suited for a first course in Functional Analysis which can be followed by Masters students. While covering all the standard material expected of such a course, efforts have been made to illustrate the use of various theorems via examples taken from differential equations ...

Nonlinearity and Functional Analysis

Nonlinearity and Functional Analysis

Author : Melvyn S. Berger
Publisher : Academic Press
Genre : Mathematics
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Nonlinearity and Functional Analysis is a collection of lectures that aim to present a systematic description of fundamental nonlinear results and their applicability to a variety of concrete problems taken from various fields of mathematical analysis. For decades, great mathematical interest has focused on problems associated with linear operators and ...