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- Author : Kosaku Yosida
- Publsiher : Springer Science & Business Media
- Release : 09 March 2013
- ISBN : 3662007819
- Pages : 476 pages
- Rating : 4/5 from 21 reviews

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Read or download book entitled Functional Analysis written by Kosaku Yosida which was release on 09 March 2013, this book published by Springer Science & Business Media. Available in PDF, EPUB and Kindle Format. Book excerpt: The present book is based on lectures given by the author at the University of Tokyo during the past ten years. It is intended as a textbook to be studied by students on their own or to be used in a course on Functional Analysis, i. e. , the general theory of linear operators in function spaces together with salient features of its application to diverse fields of modern and classical analysis. Necessary prerequisites for the reading of this book are summarized, with or without proof, in Chapter 0 under titles: Set Theory, Topo logical Spaces, Measure Spaces and Linear Spaces. Then, starting with the chapter on Semi-norms, a general theory of Banach and Hilbert spaces is presented in connection with the theory of generalized functions of S. L. SOBOLEV and L. SCHWARTZ. While the book is primarily addressed to graduate students, it is hoped it might prove useful to research mathe maticians, both pure and applied. The reader may pass, e. g. , from Chapter IX (Analytical Theory of Semi-groups) directly to Chapter XIII (Ergodic Theory and Diffusion Theory) and to Chapter XIV (Integration of the Equation of Evolution). Such materials as "Weak Topologies and Duality in Locally Convex Spaces" and "Nuclear Spaces" are presented in the form of the appendices to Chapter V and Chapter X, respectively. These might be skipped for the first reading by those who are interested rather in the application of linear operators.

- Author : Kosaku Yosida
- Publisher : Springer Science & Business Media
- Release Date : 2013-03-09
- Total pages : 476
- ISBN : 3662007819

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**Summary :** The present book is based on lectures given by the author at the University of Tokyo during the past ten years. It is intended as a textbook to be studied by students on their own or to be used in a course on Functional Analysis, i. e. , the general theory ...

- Author : John B. Conway
- Publisher : Springer Science & Business Media
- Release Date : 1994-01-25
- Total pages : 400
- ISBN : 3662007819

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**Summary :** This book is an introductory text in functional analysis. Unlike many modern treatments, it begins with the particular and works its way to the more general. From the reviews: "This book is an excellent text for a first graduate course in functional analysis....Many interesting and important applications are included.......

- Author : Erwin Kreyszig
- Publisher : John Wiley & Sons
- Release Date : 1991-01-16
- Total pages : 704
- ISBN : 3662007819

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**Summary :** Provides avenues for applying functional analysis to the practical study of natural sciences as well as mathematics. Contains worked problems on Hilbert space theory and on Banach spaces and emphasizes concepts, principles, methods and major applications of functional analysis....

- Author : Peter D. Lax
- Publisher : John Wiley & Sons
- Release Date : 2014-08-28
- Total pages : 608
- ISBN : 3662007819

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**Summary :** 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 ...

- Author : J. R. Leigh
- Publisher : Courier Corporation
- Release Date : 2007-03-16
- Total pages : 160
- ISBN : 3662007819

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**Summary :** Originally published: London; New York: Academic Press, 1980, in series: Mathematics in science and engineering; v. 156....

- Author : Joseph Muscat
- Publisher : Springer
- Release Date : 2014-07-23
- Total pages : 420
- ISBN : 3662007819

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**Summary :** 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 ...

- Author : Alberto Torchinsky
- Publisher : American Mathematical Soc.
- Release Date : 2015-12-14
- Total pages : 467
- ISBN : 3662007819

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**Summary :** It is generally believed that solving problems is the most important part of the learning process in mathematics because it forces students to truly understand the definitions, comb through the theorems and proofs, and think at length about the mathematics. The purpose of this book is to complement the existing ...

- Author : J. Tinsley Oden,Leszek Demkowicz
- Publisher : CRC Press
- Release Date : 2010-03-02
- Total pages : 596
- ISBN : 3662007819

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**Summary :** Through numerous illustrative examples and comments, Applied Functional Analysis, Second Edition demonstrates the rigor of logic and systematic, mathematical thinking. It presents the mathematical foundations that lead to classical results in functional analysis. More specifically, the text prepares students to learn the variational theory of partial differential equations, distributions and ...

- Author : Francis Clarke
- Publisher : Springer Science & Business Media
- Release Date : 2013-02-06
- Total pages : 591
- ISBN : 3662007819

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**Summary :** Functional analysis owes much of its early impetus to problems that arise in the calculus of variations. In turn, the methods developed there have been applied to optimal control, an area that also requires new tools, such as nonsmooth analysis. This self-contained textbook gives a complete course on all these ...

- Author : Yu.I. Lyubich
- Publisher : Springer Science & Business Media
- Release Date : 2013-03-09
- Total pages : 286
- ISBN : 3662007819

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**Summary :** The twentieth-century view of the analysis of functions is dominated by the study of classes of functions. This volume of the Encyclopaedia covers the origins, development and applications of linear functional analysis, explaining along the way how one is led naturally to the modern approach....

- Author : Robert E. Edwards
- Publisher : Courier Corporation
- Release Date : 1995-01-01
- Total pages : 783
- ISBN : 3662007819

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**Summary :** 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....

- Author : Amol Sasane
- Publisher : World Scientific Publishing Company
- Release Date : 2017-02-20
- Total pages : 396
- ISBN : 3662007819

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**Summary :** This book constitutes a concise introductory course on Functional Analysis for students who have studied calculus and linear algebra. The topics covered are Banach spaces, continuous linear transformations, Frechet derivative, geometry of Hilbert spaces, compact operators, and distributions. In addition, the book includes selected applications of functional analysis to differential ...

- Author : Bryan P. Rynne,Martin A. Youngson
- Publisher : Springer Science & Business Media
- Release Date : 2000
- Total pages : 273
- ISBN : 3662007819

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**Summary :** This introduction to the ideas and methods of linear functional analysis shows how familiar and useful concepts from finite-dimensional linear algebra can be extended or generalized to infinite-dimensional spaces. Aimed at advanced undergraduates in mathematics and physics, the book assumes a standard background of linear algebra, real analysis (including the ...

- Author : Christian Clason
- Publisher : BirkhĂ¤user
- Release Date : 2020-12-01
- Total pages : 170
- ISBN : 3662007819

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**Summary :** Functional analysis has become one of the essential foundations of modern applied mathematics in the last decades, from the theory and numerical solution of differential equations, from optimization and probability theory to medical imaging and mathematical image processing. This textbook offers a compact introduction to the theory and is designed ...

- Author : P. K. Jain,Khalil Ahmad,Om P. Ahuja
- Publisher : New Age International
- Release Date : 1995
- Total pages : 326
- ISBN : 3662007819

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**Summary :** 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 ...