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Exercises in Functional Analysis C. Costara

Exercises in Functional Analysis By C. Costara

Exercises in Functional Analysis by C. Costara


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Summary

This book contains almost 450 exercises, all with complete solutions; it provides supplementary examples, counter-examples, 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.

Exercises in Functional Analysis Summary

Exercises in Functional Analysis by C. Costara

This book contains almost 450 exercises, all with complete solutions; it provides supplementary examples, counter-examples, 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.

Exercises in Functional Analysis Reviews

From the reviews:

The present book is one of the few books available with problems in functional analysis. ... the authors have done a good job in crediting the original sources of the problems. ... The layout and the exposition of the book is very good. The book will be of great help to graduate students in mathematics ... . will also be very helpful to research mathematicians in analysis ... . I strongly recommend the book to any person who is interested in analysis and its applications. (C. D. Aliprantis, Mathematical Reviews, Issue 2005 b)

Table of 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 Hahn-Banach theorem.- 8. Applications for the Hahn-Banach 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.

Additional information

NLS9789048163991
9789048163991
9048163994
Exercises in Functional Analysis by C. Costara
New
Paperback
Springer
2010-12-18
454
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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