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A Course in Functional Analysis and Measure Theory

A Course in Functional Analysis and Measure Theory

Paperback

Series: Universitext

CalculusGeneral Mathematics

ISBN10: 3319920030
ISBN13: 9783319920030
Publisher: Springer Nature
Published: Jul 20 2018
Pages: 539
Weight: 1.72
Height: 1.14 Width: 6.14 Depth: 9.21
Language: English
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.

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