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Functional Analysis: 187 (Classics i..., Yosida, Kosaku

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Book Title
Functional Analysis: 187 (Classics in Mathematics)
ISBN
3540586547
EAN
9783540586548
Release Title
Functional Analysis: 187 (Classics in Mathematics)
Artist
Yosida, Kosaku
Brand
N/A
Colour
N/A
Kategorie

Über dieses Produkt

Product Identifiers

Publisher
Springer Berlin / Heidelberg
ISBN-10
3540586547
ISBN-13
9783540586548
eBay Product ID (ePID)
145440

Product Key Features

Number of Pages
Xvi, 504 Pages
Language
English
Publication Name
Functional Analysis
Publication Year
1995
Subject
Functional Analysis
Features
Revised
Type
Textbook
Author
Kôsaku Yosida
Subject Area
Mathematics
Series
Classics in Mathematics Ser.
Format
Trade Paperback

Dimensions

Item Weight
56.1 Oz
Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Edition Number
6
Intended Audience
Scholarly & Professional
LCCN
94-039105
Dewey Edition
20
Series Volume Number
123
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
515/.7
Table Of Content
0. Preliminaries.- I. Semi-norms.- II. Applications of the Baire-Hausdorff Theorem.- III. The Orthogonal Projection and F. Riesz' Representation Theorem.- IV. The Hahn-Banach Theorems.- V. Strong Convergence and Weak Convergence.- VI. Fourier Transform and Differential Equations.- VII. Dual Operators.- VIII. Resolvent and Spectrum.- IX. Analytical Theory of Semi-groups.- X. Compact Operators.- XI. Normed Rings and Spectral Representation.- XII. Other Representation Theorems in Linear Spaces.- XIII. Ergodic Theory and Diffusion Theory.- XIV. The Integration of the Equation of Evolution.- Supplementary Notes.- Notation of Spaces.
Edition Description
Revised edition
Synopsis
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., 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.
LC Classification Number
QA319-329.9

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