UNITARY REPRESENTATIONS OF LOCALLY COMPACT GROUPS II
UNITARY REPRESENTATIONS OF LOCALLY COMPACT GROUPS II
复制标题
局部紧凑组的统一表示 II
DOI：
10.2307/1969431
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发表时间：
1950
影响因子：
4.9
通讯作者：
F. I. Mautner
中科院分区：
文献类型：
--
作者：
F. I. Mautner
我们继续研究在（3）中开始的局部紧群的酉表示.而（3）在很大程度上处理离散群，本文的问题主要是在非离散群的情况下有关。设g -+ U（g）是群G在可分Hilbert空间中通过酉算子U（g）的酉表示U。构造上的有界线性算子的最小弱闭自伴代数W！这
We continue the study of unitary representations of locally compact groups begun in (3). Whereas (3) dealt to a large extent with discrete groups, the problems of the present paper are mainly relevant in the case of nondiscrete groups. Let g -+ U(g) be a unitary representation U of a group G by means of unitary operators U(g) acting in a separable Hilbert space ,. Let us form the smallest weakly closed self-adjoint algebra W of bounded linear operators on ! which