Functional Analysis


Functional Analysis
Author: Kösaku Yosida
Publisher: Springer Science & Business Media
ISBN: 3642618596
Size: 34.13 MB
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Functional Analysis

Functional Analysis by Kösaku Yosida, Functional Analysis Books available in PDF, EPUB, Mobi Format. Download Functional Analysis books, 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.


Functional Analysis
Language: en
Pages: 504
Authors: Kösaku Yosida
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media
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
Functional Analysis
Language: en
Pages: 544
Authors: George Bachman, Lawrence Narici
Categories: Mathematics
Type: BOOK - Published: 2012-09-26 - Publisher: Courier Corporation
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.
Functional Analysis
Language: en
Pages: 429
Authors: George Bachman, Lawrence Narici
Categories: Mathematics
Type: BOOK - Published: 1980 - Publisher: Krishna Prakashan Media
Books about Functional Analysis
Functional Analysis
Language: en
Pages: 608
Authors: Peter D. Lax
Categories: Mathematics
Type: BOOK - Published: 2014-08-28 - Publisher: John Wiley & Sons
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 appendix
A Course in Functional Analysis
Language: en
Pages: 406
Authors: John B. Conway
Categories: Mathematics
Type: BOOK - Published: 2013-04-17 - Publisher: Springer Science & Business Media
Functional analysis has become a sufficiently large area of mathematics that it is possible to find two research mathematicians, both of whom call themselves functional analysts, who have great difficulty understanding the work of the other. The common thread is the existence of a linear space with a topology or
Lineare Funktionalanalysis
Language: de
Pages: 294
Authors: Hans Wilhelm Alt
Categories: Mathematics
Type: BOOK - Published: 2013-07-02 - Publisher: Springer-Verlag
Books about Lineare Funktionalanalysis
I: Functional Analysis
Language: en
Pages: 400
Authors: Michael Reed, Barry Simon
Categories: Mathematics
Type: BOOK - Published: 1981-02-23 - Publisher: Academic Press
This book is the first of a multivolume series devoted to an exposition of functional analysis methods in modern mathematical physics. It describes the fundamental principles of functional analysis and is essentially self-contained, although there are occasional references to later volumes. We have included a few applications when we thought
Functional Analysis in Mechanics
Language: en
Pages: 244
Authors: Leonid P. Lebedev, I. I. Vorovich
Categories: Mathematics
Type: BOOK - Published: 2002-11-20 - Publisher: Springer Science & Business Media
This is a self-contained book that covers the foundations of functional analysis while introducing the essential topics of the chosen applications. Graduate level students in mathematics and engineering will find the text useful.
Functional Analysis
Language: en
Pages: 322
Authors: Yuli Eidelman, Vitali D. Milman, Antonis Tsolomitis
Categories: Mathematics
Type: BOOK - Published: 2004 - Publisher: American Mathematical Soc.
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
Language: en
Pages: 800
Authors: R.E. Edwards
Categories: Mathematics
Type: BOOK - Published: 2012-10-25 - Publisher: Courier Corporation
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.