Introduction to Functional Analysis

By: Taylor,Angus EContributor(s): Lay, David CMaterial type: TextTextPublication details: New York : Wiley, ©1980Edition: 2nd edDescription: xi, 467 pagesISBN: 9780471846468; 0471846465 Subject(s): Functional analysisDDC classification: 515.7
Contents:
The abstract approach to linear problems -- Topological linear spaces -- Linear functionals and weak topologies -- General theorems on linear operators -- Spectral analysis of linear operators -- Spectral analysis in Hilbert space -- Banach algebras -- Bibliography -- List of special symbols --
Summary: Analyzes the theory of normed linear spaces and of linear mappings between such spaces, providing the necessary foundation for further study in many areas of analysis. Strives to generate an appreciation for the unifying power of the abstract linear-space point of view in surveying the problems of linear algebra, classical analysis, and differential and integral equations. This second edition incorporates recent developments in functional analysis to make the selection of topics more appropriate for current courses in functional analysis. Additions to this new edition include: a chapter on Banach algebras, and material on weak topologies and duality, equicontinuity, the Krein-Milman theorem, and the theory of Fredholm operators. Greater emphasis is also placed on closed unbounded linear operators, with more illustrations drawn from ordinary differential equations.
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Item type Current library Collection Call number Status Date due Barcode Item holds
Reference Books Reference Books Main Library
Reference 		Reference 515.7 TAY (Browse shelf(Opens below)) Available 007990
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Bibliography & Index

The abstract approach to linear problems --
Topological linear spaces --
Linear functionals and weak topologies --
General theorems on linear operators --
Spectral analysis of linear operators --
Spectral analysis in Hilbert space --
Banach algebras --
Bibliography --
List of special symbols --

Analyzes the theory of normed linear spaces and of linear mappings between such spaces, providing the necessary foundation for further study in many areas of analysis. Strives to generate an appreciation for the unifying power of the abstract linear-space point of view in surveying the problems of linear algebra, classical analysis, and differential and integral equations. This second edition incorporates recent developments in functional analysis to make the selection of topics more appropriate for current courses in functional analysis. Additions to this new edition include: a chapter on Banach algebras, and material on weak topologies and duality, equicontinuity, the Krein-Milman theorem, and the theory of Fredholm operators. Greater emphasis is also placed on closed unbounded linear operators, with more illustrations drawn from ordinary differential equations.

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