What could be regarded as the beginning of a theory of commutators AB - BA of operators A and B on a Hilbert space, considered as a dis- cipline in itself, goes back at least to the two papers of Weyl [3] {1928} and von Neumann [2] {1931} on quantum mechanics and the commuta- tion relations occurring there. Here A and B were unbounded self-adjoint operators satisfying the relation AB - BA = iI, in some appropriate sense, and the problem was that of establishing the essential uniqueness of the pair A and B. The study of ...
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What could be regarded as the beginning of a theory of commutators AB - BA of operators A and B on a Hilbert space, considered as a dis- cipline in itself, goes back at least to the two papers of Weyl [3] {1928} and von Neumann [2] {1931} on quantum mechanics and the commuta- tion relations occurring there. Here A and B were unbounded self-adjoint operators satisfying the relation AB - BA = iI, in some appropriate sense, and the problem was that of establishing the essential uniqueness of the pair A and B. The study of commutators of bounded operators on a Hilbert space has a more recent origin, which can probably be pinpointed as the paper of Wintner [6] {1947}. An investigation of a few related topics in the subject is the main concern of this brief monograph. The ensuing work considers commuting or "almost" commuting quantities A and B, usually bounded or unbounded operators on a Hilbert space, but occasionally regarded as elements of some normed space. An attempt is made to stress the role of the commutator AB - BA, and to investigate its properties, as well as those of its components A and B when the latter are subject to various restrictions. Some applica- tions of the results obtained are made to quantum mechanics, perturba- tion theory, Laurent and Toeplitz operators, singular integral trans- formations, and Jacobi matrices.
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Add this copy of Commutation Properties of Hilbert Space Operators and to cart. $38.70, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2012 by Springer.
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Good+ 3540037780. Slight shelf wear and rubbing to the spine edges and corners. Corners slightly bumped.; Ergebnisse Der Mathematik Und Ihrer Grenzgebiete; 0 X 0 X 0 inches; 168 pages.
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Very Good. No Jacket. Very good, clean, tight condition-yellow cloth. Text free of marks. Professional book dealer since 1999. All orders are processed promptly and carefully packaged.
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Near Fine. First edition, 1967. Cloth hardcover, 167 pp., clean unmarked text, Near Fine copy, a bit of discoloration to the pages and the covers, no dust jacket.
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This is an ex-library book and may have the usual library/used-book markings inside. This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 450grams, ISBN:
