| 书目名称 | Commutation Properties of Hilbert Space Operators and Related Topics | | 编辑 | C. R. Putnam | | 视频video | http://file.papertrans.cn/231/230745/230745.mp4 | | 丛书名称 | Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge | | 图书封面 |  | | 描述 | 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 result | | 出版日期 | Book 1967 | | 关键词 | Hilbert space; Hilbertscher Raum; Jacobi; Operators; commutation; differential operator; equation; form; int | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-85938-0 | | isbn_softcover | 978-3-642-85940-3 | | isbn_ebook | 978-3-642-85938-0 | | copyright | Springer-Verlag, Berlin · Heidelberg 1967 |
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