Linear functional analysis : an application-oriented introduction / Hans Wilhelm Alt and translated by Robert Nurnberg.
Material type:
- 9781447172796
- 515.7 23 Al465
Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
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Books | ISI Library, Kolkata | 515.7 Al465 (Browse shelf(Opens below)) | Available | 137686 |
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515.7 Al393 Compact convex sets and boundary integrals | 515.7 Al412 Infinite dimensional analysis | 515.7 Al456 Advanced complex analysis problem book : | 515.7 Al465 Linear functional analysis : | 515.7 Al472 Hardy spaces on ahlfors regular quasi metric spaces : | 515.7 Am512 Almost periodic functions and functional equations | 515.7 An635 Generalized functions, operator theory, and dynamical systems |
Includes bibliographical references and index.
1. Introduction.-
2. Preliminaries.-
3. Function spaces.-
4. Subsets of function spaces.-
5. Linear operators.-
6. Linear functionals.-
7. Uniform boundedness principle.-
8. Weak convergence.-
9. Finite-dimensional approximation.-
10. Compact operators.-
11. Spectrum of compact operators.-
12. Self-adjoint operators.-
References.-
Symbols.-
Index.
This book gives an introduction to Linear Functional Analysis, which is a synthesis of algebra, topology, and analysis. In addition to the basic theory it explains operator theory, distributions, Sobolev spaces, and many other things. The text is self-contained and includes all proofs, as well as many exercises, most of them with solutions. Moreover, there are a number of appendices, for example on Lebesgue integration theory.
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