Commutation Properties of Hilbert Space Operators and Related Topics - Couverture rigide

Putnam, Calvin R.

Couverture rigide

ISBN 10 : 3540037780 ISBN 13 : 9783540037781

Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1967

Synopsis

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.

Détails de l'édition

• Éditeur: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Date d'édition: 1967
• Langue: anglais
• ISBN 10: 3540037780
• ISBN 13: 9783540037781
• Reliure: Relié
• Numéro d'édition: 1
• Nombre de pages: 168
• Coordonnées du fabricant: non disponible
• Personne responsable: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Allemagne