A course in functional analysis and measure theory

✍ Scribed by Kadets V.

Publisher: Springer
Year: 2018
Tongue: English
Leaves: 539
Series: Universitext
Category: Library

No coin nor oath required. For personal study only.

✦ Table of Contents

Content: Introduction --
Chapter 1. Metric and topological spaces --
Chapter 2. Measure theory --
Chapter 3. Measurable functions --
Chapter 4. The Lebesgue integral --
Chapter 5. Linear spaces, linear functionals, and the Hahn-Banach theorem --
Chapter 6. Normed spaces --
Chapter 7. Absolute continuity of measures and functions. Connection between derivative and integral --
Chapter 8. The integral on C(K) --
Chapter 9. Continuous linear functionals --
Chapter 10. Classical theorems on continuous operators --
Chapter 11. Elements of spectral theory of operators. Compact operators --
Chapter 12. Hilbert spaces --
Chapter 13. Functions of an operator --
Chapter 14. Operators in Lp --
Chapter 15. Fixed-point theorems and applications --
Chapter 16. Topological vector spaces --
Chapter 17. Elements of duality theory --
Chapter 18. The Krein-Milman theorem and applications --
References. Index.

✦ Subjects

Real Functions

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