# A course in functional analysis and measure theory / Vladimir Kadets ; translated from the Russian by Andrei Iacob.

##### By: Kadet︠s︡, V. M. (Vladimir M.) [author.].

##### Contributor(s): Iacob, A [translator.].

Material type: TextSeries: Universitext: Publisher: Cham, Switzerland : Springer, 2018Description: xxii, 539 pages, E 54.99 23 cms.Content type: text Media type: computer Carrier type: online resourceISBN: 9783319920047; 3319920049.Subject(s): Functional analysis | Measure theory | Functional analysis | Measure theory | Mathematics | Functional Analysis | Measure and Integration | Operator Theory | Real FunctionsGenre/Form: Electronic books.DDC classification: 515/.7Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
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Book | Chennai Mathematical Institute General Stacks | 515.7 KAD (Browse shelf) | Available | 10641 |

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Includes bibliographical references and index.

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.

Online resource; title from PDF title page (SpringerLink, viewed July 23, 2018).