1 option
A course in functional analysis and measure theory / Vladimir Kadets ; translated from the Russian by Andrei Iacob.
Math/Physics/Astronomy Library QA320 .K34 2018
Available
- Format:
- Book
- Author/Creator:
- Kadet︠s︡, V. M. (Vladimir M.)
- Series:
- Universitext 0172-5939
- Universitext, 0172-5939
- Language:
- English
- Subjects (All):
- Functional analysis.
- Measure theory.
- Physical Description:
- xxii, 539 pages ; 24 cm.
- Place of Publication:
- Cham, Switzerland : Springer, [2018]
- Contents:
- 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.
- Notes:
- Includes bibliographical references (pages 525-528) and index.
- ISBN:
- 3319920030
- 9783319920030
- OCLC:
- 1032030203
The Penn Libraries is committed to describing library materials using current, accurate, and responsible language. If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.