A course in functional analysis and measure theory. (2018)

• Record Type: Book
• Further Information: Note: Vladimir Kadets ; translated from the Russian by Andrei Iacob.
• Authors: Kadet︠s︡, V. M (Vladimir M.)
• Other Names: Iacob, A translator.
• 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.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2018
• Extent: 1 online resource (xxii, 539 pages)
• Subjects: 515/.7; Functional analysis; Measure theory; Functional analysis; Measure theory; Mathematics; Functional Analysis; Measure and Integration; Operator Theory; Real Functions; Electronic books
• Languages: English
• ISBNs: 9783319920047; 3319920049
• Related ISBNs: 9783319920030; 3319920030
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed July 23, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.