| 书目名称 | Unbounded Operator Algebras and Representation Theory | | 编辑 | Konrad Schmüdgen | | 视频video | | | 丛书名称 | Operator Theory: Advances and Applications | | 图书封面 |  | | 描述 | *-algebras of unbounded operators in Hilbert space, or more generally algebraic systems of unbounded operators, occur in a natural way in unitary representation theory of Lie groups and in the Wightman formulation of quantum field theory. In representation theory they appear as the images of the associated representations of the Lie algebras or of the enveloping algebras on the Garding domain and in quantum field theory they occur as the vector space of field operators or the *-algebra generated by them. Some of the basic tools for the general theory were first introduced and used in these fields. For instance, the notion of the weak (bounded) commutant which plays a fundamental role in thegeneraltheory had already appeared in quantum field theory early in the six ties. Nevertheless, a systematic study of unbounded operator algebras began only at the beginning of the seventies. It was initiated by (in alphabetic order) BORCHERS, LASSNER, POWERS, UHLMANN and VASILIEV. J1‘rom the very beginning, and still today, represen tation theory of Lie groups and Lie algebras and quantum field theory have been primary sources of motivation and also of examples. However, the general theory of | | 出版日期 | Book 1990 | | 关键词 | Hilbert space; algebra; field; lie algebra; lie group; operator algebra; operator theory; representation th | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0348-7469-4 | | isbn_softcover | 978-3-0348-7471-7 | | isbn_ebook | 978-3-0348-7469-4Series ISSN 0255-0156 Series E-ISSN 2296-4878 | | issn_series | 0255-0156 | | copyright | Springer Basel AG 1990 |
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发表于 2025-3-21 18:39:12
