Exercises in functional analysis
 Responsibility
 by Constantin Costara and Dumitru Popa.
 Imprint
 Dordrecht ; Boston : Kluwer Academic Publishers, c2003.
 Physical description
 x, 451 p. ; 25 cm.
 Series
 Kluwer texts in the mathematical sciences ; v. 26.
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QA320 .C66 2003  Available 
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Creators/Contributors
 Author/Creator
 Costara, Constantin.
 Contributor
 Popa, Dumitru.
Contents/Summary
 Bibliography
 Includes bibliographical references (p. [444]446) and index.
 Contents

 I: Normed spaces. 1. Open, closed, and bounded sets in normed spaces. 2. Linear and continuous operators on normed spaces. 3. Linear and continuous functionals. Reflexive spaces. 4. The distance between sets in Banach spaces. 5. Compactness in Banach spaces. Compact operators. 6. The Uniform Boundedness Principle. 7. The HahnBanach theorem. 8. Applications for the HahnBanach theorem. 9. Baire's category. The open mapping and closed graph theorems. II: Hilbert spaces. 10. Hilbert spaces, general theory. 11. The projection in Hilbert spaces. 12. Linear and continuous operators on Hilbert spaces. III: General topological spaces. 13. Linear topological and locally convex spaces. 14. The weak topologies. List of Symbols.
 (source: Nielsen Book Data)9781402015601 20160610
 Publisher's Summary
 This book contains almost 450 exercises, all with complete solutions; it provides supplementary examples, counterexamples, and applications for the basic notions usually presented in an introductory course in Functional Analysis. Three comprehensive sections cover the broad topic of functional analysis. A large number of exercises on the weak topologies is included.
(source: Nielsen Book Data)9781402015601 20160610  Supplemental links

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Table of contents
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Publisher description
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Table of Contents Exercises in functional analysis
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Bibliographic information
 Publication date
 2003
 Series
 Kluwer texts in the mathematical sciences ; v. 26
 ISBN
 1402015607 (alk. paper)
 9781402015601 (alk. paper)