Invariant Hermitian kernels and their Kolmogorov decompositions

被引：0
|
作者：
Constantinescu, T [1 ]
Gheondea, A
机构：
[1] Univ Texas, Dept Math, Richardson, TX 75083 USA
[2] Inst Matemat Acad Romane, Bucharest 70700, Romania
来源：
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 2000年 / 331卷 / 10期
关键词：
D O I：
10.1016/S0764-4442(00)01708-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study Hermitian kernels invariant under the action of a semigroup with involution. We characterize the Hermitian kernels that realize the given action by bounded operators on a Krein space. Applications include the GNS representation of *-algebras associated to Hermitian functionals and the dilation theory of Hermitian maps on C*-algebras. (C) 2000 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.
引用
收藏
页码：797 / 802
页数：6
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