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Synopsis
Operator 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.
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Review
recommended it to anyone wishing to gain a better understanding of operator theory. (Bulletin of the London Mathematical Society )
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A Course in Operator Theory (Graduate Studies in Mathematics Volume 21)
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American Mathematical Society, Providence, Rhode Island, 2000
ISBN 10: 0821820656
ISBN 13: 9780821820650
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Course in Operator Theory
Published by
American Mathematical Society, 1999
ISBN 10: 0821820656
ISBN 13: 9780821820650
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Course in Operator Theory
Published by
American Mathematical Society, 1999
ISBN 10: 0821820656
ISBN 13: 9780821820650
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Course in Operator Theory
Published by
American Mathematical Society, 1999
ISBN 10: 0821820656
ISBN 13: 9780821820650
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Condition: New. Operator theory is a significant part of many important areas of modern mathematics: functional analysis, differential equations, index theory, representation theory, and mathematical physics. This text covers the central themes of operator theory. It is suitable for graduate students who have had a standard course in functional analysis. Series: Graduate Studies in Mathematics. Num Pages: 387 pages, bibliography, index. BIC Classification: PBKF. Category: (P) Professional & Vocational. Dimension: 259 x 183 x 24. Weight in Grams: 858. . 1999. 1st. Hardcover. . . . . Seller Inventory # V9780821820650
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Course in Operator Theory
Published by
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ISBN 10: 0821820656
ISBN 13: 9780821820650
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A Course in Operator Theory (Graduate Studies in Mathematics)
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ISBN 10: 0821820656
ISBN 13: 9780821820650
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A Course in Operator Theory
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ISBN 10: 0821820656
ISBN 13: 9780821820650
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Course in Operator Theory
Published by
American Mathematical Society, 1999
ISBN 10: 0821820656
ISBN 13: 9780821820650
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Course in Operator Theory
Published by
American Mathematical Society, 1999
ISBN 10: 0821820656
ISBN 13: 9780821820650
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Condition: New. Operator theory is a significant part of many important areas of modern mathematics: functional analysis, differential equations, index theory, representation theory, and mathematical physics. This text covers the central themes of operator theory. It is suitable for graduate students who have had a standard course in functional analysis. Series: Graduate Studies in Mathematics. Num Pages: 387 pages, bibliography, index. BIC Classification: PBKF. Category: (P) Professional & Vocational. Dimension: 259 x 183 x 24. Weight in Grams: 858. . 1999. 1st. Hardcover. . . . . Books ship from the US and Ireland. Seller Inventory # V9780821820650
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A Course in Operator Theory
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ISBN 13: 9780821820650
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Einband - fest (Hardcover). Condition: New. Operator theory is a significant part of many important areas of modern mathematics: functional analysis, differential equations, index theory, representation theory, and mathematical physics. This text covers the central themes of operator theory. It is su. Seller Inventory # 2146028898
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