On C*-spectrality of locally convex *-algebras in C*-algebras

被引:0
|
作者
Hatt, S. J. [1 ]
Inoue, A. [1 ]
Ogi, H. [1 ]
机构
[1] Sardar Patel Univ, Dept Math, Vallabh Vidyanagar 388120, Gujarat, India
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关键词
locally convex *-algebra; C*-seminorm; spectral invariance; differential seminorm;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let U[tau] be a locally convex *-algebra with a C*-norm parallel to . parallel to such that tau is finer than parallel to . parallel to. Denote by (U) over tilde[tau] the completion of U[tau]. We characterize spectral invariance of (U) over tilde[tau] using the embedding map, the spectral radius and a*-representation.
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页码:89 / 95
页数:7
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