000 | 01733nam a22002417a 4500 | ||
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003 | IIITD | ||
005 | 20240205173737.0 | ||
008 | 240205b xxu||||| |||| 00| 0 eng d | ||
020 | _a9788195196135 | ||
040 | _aIIITD | ||
082 |
_a515.7 _bKES-F |
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100 | _aKesavan, S. | ||
245 |
_aFunctional analysis _cby S. Kesavan |
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260 |
_bHindustan Book Agency, _aNew Delhi : _c©2022 |
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300 |
_axii, 287 p. ; _c23 cm. |
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500 | _aThis second edition is thoroughly revised and includes several new examples and exercises. Proofs of many results have been rewritten for a greater clarity. While covering all the standard material expected of such a course, efforts have been made to illustrate the use of the topics to study differential equations and calculus of variations. The book includes a chapter on weak topologies and their applications. It also includes a chapter on the Lebesgue spaces, which discusses Sobolev spaces. The book includes a chapter on compact operators and their spectra, especially for compact self-adjoint operators on a Hilbert space. Each chapter has a large collection of exercises in the end, which give additional examples and counterexamples to the results given in the text. This book is suitable for a first course in functional analysis for graduate students who wish to pursue a career in the applications of mathematics. | ||
505 |
_t1. Preliminaries _t2. Normed Linear Spaces _t3. Hahn-Banach Theorems _t4. Baire’s Theorem and Applications _t5. Weak and Weak* Topologies _t6. L p Spaces _t7. Hilbert Spaces _t8. Compact Operators |
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650 | _aFunctional analysis | ||
650 | _aCompact operators | ||
650 | _aHilbert space | ||
650 | _aVector spaces | ||
942 |
_2ddc _cBK |
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999 |
_c172137 _d172137 |