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Exercises in Functional Analysis

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Cover of 'Exercises in Functional Analysis'

Table of Contents

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    Book Overview
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    Chapter 1 Open, closed, and bounded sets in normed spaces
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    Chapter 2 Linear and continuous operators on normed spaces
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    Chapter 3 Linear and continuous functionals. Reflexive spaces
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    Chapter 4 The distance between sets in Banach spaces
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    Chapter 5 Compactness in Banach spaces. Compact operators
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    Chapter 6 The Uniform Boundedness Principle
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    Chapter 7 The Hahn—Banach theorem
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    Chapter 8 Applications for the Hahn—Banach theorem
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    Chapter 9 Baire’s category. The open mapping and closed graph theorems
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    Chapter 10 Hilbert spaces, general theory
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    Chapter 11 The projection in Hilbert spaces
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    Chapter 12 Linear and continuous operators on Hilbert spaces
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    Chapter 13 Linear topological and locally convex spaces
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    Chapter 14 The weak topologies
Attention for Chapter 2: Linear and continuous operators on normed spaces
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