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020			_a9780821820650
020			_a9781470409258 (pbk.) _c₹ 1700.00
040			_bENG _cIISER-BPR
041			_aENG
082			_a515.72 _bCON _223rd
100			_aConway, John B. _91088
222			_aMathematics
245		2	_aA course in operator theory
250			_a1st ed.
260			_aRhode Island: _bAmerican Mathematical Society, _cc2000.
300			_axiii, 372p. : _c24cm
440			_aGraduate Studies in Mathematics _vVol. 21 _92652
504			_aIncludes bibliographic references, subject index and list of symbols.
520			_aOperator theory is a significant part of many important areas of modern mathematics: functional analysis, differential equations, index theory, representation theory, mathematical physics, and more. This text covers the central themes of operator theory, presented with the excellent clarity and style that readers have come to associate with Conway's writing. Early chapters introduce and review material on C*-algebras, normal operators, compact operators and non-normal operators. The topics include the spectral theorem, the functional calculus and the Fredholm index. Also, some deep connections between operator theory and analytic functions are presented. Later chapters cover more advanced topics, such as representations of C*-algebras, compact perturbations and von Neumann algebras. Major results, such as the Sz.-Nagy Dilation Theorem, the Weyl-von Neumann-Berg Theorem and the classification of von Neumann algebras, are covered, as is a treatment of Fredholm theory. These advanced topics are at the heart of current research. The last chapter gives an introduction to reflexive subspaces, i.e., subspaces of operators that are determined by their invariant subspaces. These, along with hyperreflexive spaces, are one of the more successful episodes in the modern study of asymmetric algebras. Professor Conway's authoritative treatment makes this a compelling and rigorous course text, suitable for graduate students who have had a standard course in functional analysis.
650			_aMathematics _92653
650			_aAnalysis _92654
650			_aFunctional analysis _92655
650			_aCalculus _92656
650			_aOperational calculus _92657
650			_aOperator theory _92658
942			_cBK _2ddc
942			_2ddc
947			_a1700
948			_a22
999			_c4228 _d4228