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