Exercises in Functional Analysis

Name: Exercises in Functional Analysis
Price: 169.17 USD
Availability: InStock
ISBN: 9781402015601

ISBN-10: 1402015607

ISBN-13: 9781402015601

Edition: 2003

Authors: Constantin Costara, Dumitru Popa

List price: $169.99

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Description:

This book of exercises in Functional Analysis contains almost 450 exercises (all with complete solutions), providing supplementary examples, counter-examples and applications for the basic notions usually presented in an introductory course in Functional Analysis. It contains three parts. The first one contains exercises on the general properties for sets in normed spaces, linear bounded operators on normed spaces, reflexivity, compactness in normed spaces, and on the basic principles in Functional Analysis: the Hahn-Banach theorem, the Uniform Boundedness Principle, the Open Mapping and the Closed Graph theorems. The second one contains exercises on the general theory of Hilbert spaces,…

Book details

List price: $169.99
Copyright year: 2003
Publisher: Springer Netherlands
Publication date: 9/30/2003
Binding: Hardcover
Pages: 454
Size: 8.27" wide x 11.69" long x 1.25" tall
Weight: 4.026
Language: English



Preface


Some Standard Notations and Conventions



Normed spaces



Open, closed, and bounded sets in normed spaces



Exercises



Solutions



Linear and continuous operators on normed spaces



Exercises



Solutions



Linear and continuous functionals. Reflexive spaces



Exercises



Solutions



The distance between sets in Banach spaces



Exercises



Solutions



Compactness in Banach spaces. Compact operators



Exercises



Solutions



The Uniform Boundedness Principle



Exercises



Solutions



The Hahn-Banach theorem



Exercises



Solutions



Applications for the Hahn-Banach theorem



Exercises



Solutions



Baire's category. The open mapping and closed graph theorems



Exercises



Solutions



Hilbert spaces



Hilbert spaces, general theory



Exercises



Solutions



The projection in Hilbert spaces



Exercises



Solutions



Linear and continuous operators on Hilbert spaces



Exercises



Solutions



General topological spaces



Linear topological and locally convex spaces



Exercises



Solutions



The weak topologies



Exercises



Solutions


Bibliography


List of Symbols


Index