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A Course in Functional Analysis and Measure Theory

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Cover of 'A Course in Functional Analysis and Measure Theory'

Table of Contents

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    Book Overview
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    Chapter 1 Metric and Topological Spaces
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    Chapter 2 Measure Theory
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    Chapter 3 Measurable Functions
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    Chapter 4 The Lebesgue Integral
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    Chapter 5 Linear Spaces, Linear Functionals, and the Hahn–Banach Theorem
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    Chapter 6 Normed Spaces
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    Chapter 7 Absolute Continuity of Measures and Functions. The Connection Between Derivative and Integral
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    Chapter 8 The Integral on C ( K )
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    Chapter 9 Continuous Linear Functionals
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    Chapter 10 Classical Theorems on Continuous Operators
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    Chapter 11 Elements of Spectral Theory of Operators. Compact Operators
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    Chapter 12 Hilbert Spaces
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    Chapter 13 Functions of an Operator
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    Chapter 14 Operators in $$L_p$$
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    Chapter 15 Fixed Point Theorems and Applications
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    Chapter 16 Topological Vector Spaces
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    Chapter 17 Elements of Duality Theory
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    Chapter 18 The Krein–Milman Theorem and Its Applications
Attention for Chapter 15: Fixed Point Theorems and Applications
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