000 | 02735nam a22003497a 4500 | ||
---|---|---|---|
001 | 23176904 | ||
003 | IIITD | ||
005 | 20240408153918.0 | ||
008 | 230608s2023 enk b 001 0 eng | ||
010 | _a 2023022479 | ||
020 | _a9781009243902 | ||
040 |
_aDLC _beng _erda _cDLC |
||
042 | _apcc | ||
050 | 0 | 0 |
_aQA320 _b.V35 2023 |
082 | 0 | 0 |
_a515.7 _223/eng20230919 _bVAI-F |
084 |
_aMAT034000 _2bisacsh |
||
100 | 1 | _aVaidyanathan, Prahlad | |
245 | 1 | 0 |
_aFunctional analysis _cby Prahlad Vaidyanathan. |
260 |
_aCambridge : _bCambridge University Press, _c©2023. |
||
263 | _a2309 | ||
300 |
_axi, 543 p. : _bill. ; _c24 cm. |
||
504 | _aIncludes bibliographical references and index. | ||
505 |
_t1. Preliminaries
_t2. Normed Linear Spaces _t3. Hilbert Spaces _t4. Dual Spaces _t5. Operators on Banach Spaces _t6. Weak Topologies _t7. Spectral Theory _t8. C*-Algebras _t9. Measure and Integration _t10. Normal Operators on Hilbert Spaces |
||
520 | _a"Functional Analysis is a part of mathematics that deals with linear spaces equipped with a topology. The subject began with the work of Fredholm, Hilbert, Banach and others in the early 20th century. They developed an algebraic/topological framework which could be used to address a variety of questions in analysis. The subject immediately saw connections to abstract algebra, partial differential equations, geometry and much more. This book is meant to introduce the reader to functional analysis. The first half of the book will cover the basic material that is taught in Masters programs across the world and prove all the major theorems in great detail. The second half of the book will focus on operators on a Hilbert space and is built around the proof of the spectral theorem - a central result in the subject that ties together traditional functional analysis with the modern theory of operator algebras. The book aims to provide an accessible, interesting and readable introduction to the subject. It will also take the reader a little further than most courses do by introducing them to the language of operator algebras. This will help future researchers by giving them a jumping off point as they dive into deeper books on the subject"-- | ||
650 | 0 | _aFunctional analysis. | |
650 | 0 |
_aFunctional analysis _vProblems, exercises, etc. |
|
650 | 7 |
_aMATHEMATICS / Mathematical Analysis _2bisacsh |
|
776 | 0 | 8 |
_iOnline version: _aVaidyanathan, Prahlad. _tFunctional analysis _dCambridge, United Kingdom ; New York, NY : Cambridge University Press, 2023 _z9781009243926 _w(DLC) 2023022480 |
906 |
_a7 _bcbc _corignew _d1 _eecip _f20 _gy-gencatlg |
||
942 |
_2ddc _cBK |
||
999 |
_c172528 _d172528 |