A Course in Functional Analysis and Measure Theory

By Vladimir Kadets

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.

• Format: Paperback
• Language: English
• ISBN: 3319920030
• ISBN13: 9783319920030
• Release Date: July 2018
• Publisher: Springer
• Length: 539 Pages
• Weight: 1.72 lbs.
• Dimensions: 1.1" x 6.1" x 9.2"