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Exercises in Functional Analysis

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ISBN-10: 1402015607

ISBN-13: 9781402015601

Edition: 2003

Authors: Constantin Costara, Dumitru Popa

List price: $149.99
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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,…    
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Book details

List price: $149.99
Copyright year: 2003
Publisher: Springer
Publication date: 9/30/2003
Binding: Hardcover
Pages: 454
Size: 6.50" wide x 9.50" long x 1.25" tall
Weight: 1.892

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