Well-behaved unbounded operator representations and unbounded $C^*$-seminorms

Well-behaved unbounded operator representations and unbounded $C^*$-seminorms
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行为良好的无界运算符表示和无界 $C^*$-seminorms

DOI:
10.2969/jmsj/1191418638
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发表时间:
2004
影响因子:
0.7
通讯作者:
K. Kürsten
K. Kürsten
中科院分区:
数学4区
文献类型:
--
作者:
S. J. Bhatt;A. Inoue;K. Kürsten

文献摘要

被引文献

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第一个目的是通过无界的\(C'\)-半范数来刻画局部凸\(*\)-代数的良好行为的\(C^*\)表示的存在性。第二个目的是定义谱\(*\)-表示的概念,并通过无界的\(C^{**}\)-半范数来刻画谱良好行为的\(*\)-表示的存在性。
The first purpose is to characterize the existence of well-behaved C * representations of locally convex * -algebras by unbounded C'-seminorms. The second is to define the notion of spectra *-representations and to characterize the existence of spectral well-behaved *-representations by unbounded C * - -seminorms.