A Course in Operator Theory by John B Conway
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. Some of the major topics covered are the spectral theorem, the functional calculus, and the Fredholm index. In addition, 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. The last chapter gives an introduction to reflexive subspaces, which 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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Algebra
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Global Analysis
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Applied Asymptotic Analysis
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Advanced Modern Algebra
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Representations of Finite and Compact Groups
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Classical and Quantum Computation
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Introduction to Analytic and Probabilistic Number Theory
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Mathematical Methods in Quantum Mechanics
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Lectures on Elliptic and Parabolic Equations in Sobolev Spaces
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Advanced Modern Algebra, Parts 1 and 2
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Introduction to Quantum Groups and Crystal Bases
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Introduction to the H-Principle
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Measure Theory and Integration
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Algebraic Number Fields
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Inequalities in Matrix Algebras
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Algebraic Curves and Riemann Surfaces
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$\textrm {C}^*$-Algebras and Finite-Dimensional Approximations
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The Calderon Problem
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John BConway belongs to the best authors of basic textbooks ... The present book continues this tradition of clear and elegant way of presentation. ... this book can be highly recommended for students of operator theory as well as to experts in the field who will find many interesting ideas there."" - Mathematica Bohemica
""Conway's book adds a complementary volume of study for those just becoming acquainted with the field ... shares ... a style which is relaxed, yet concise ... recommend it to anyone wishing to gain a better understanding of operator theory."" - Bulletin of the London Mathematical Society
""This is an excellent course in operator theory and operator algebras ... leads the reader to deep new results and modern research topics ... the author has done more than just write a good book-he has managed to reveal the unspeakable charm of the subject, which is indeed the 'source of happiness' for operator theorists."" - Mathematical Reviews
""Conway's book adds a complementary volume of study for those just becoming acquainted with the field ... shares ... a style which is relaxed, yet concise ... recommend it to anyone wishing to gain a better understanding of operator theory."" - Bulletin of the London Mathematical Society
""This is an excellent course in operator theory and operator algebras ... leads the reader to deep new results and modern research topics ... the author has done more than just write a good book-he has managed to reveal the unspeakable charm of the subject, which is indeed the 'source of happiness' for operator theorists."" - Mathematical Reviews
John B. Conway, University of Tennessee, Knoxville, TN.
| SKU | Unavailable |
| ISBN 13 | 9781470480615 |
| ISBN 10 | 1470480611 |
| Title | A Course in Operator Theory |
| Author | John B Conway |
| Series | Graduate Studies In Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | American Mathematical Society |
| Year published | 2000-04-15 |
| Number of pages | 372 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |