Some problems in operator theory on bounded symmetric domains

被引：5

作者：

Englis, M ^{[1
]}

机构：

[1] Math Inst AV CR, Prague 11567 1, Czech Republic

来源：

ACTA APPLICANDAE MATHEMATICAE | 2004年 / 81卷 / 1-3期

关键词：

operator model; Cartan domain; curvature invariant;

D O I：

10.1023/B:ACAP.0000024194.61626.25

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss some problems concerning the operators Km(Z, Z*), where Km is the reproducing kernel of the Peter-Weyl space with signature m and Z stands for the commuting tuple of operators of multiplication by the coordinate variables on a bounded symmetric domain. These problems have applications for construction of operator models, as well as for a possible generalization of the recent dilation theory for row contractions due to Arveson.

引用

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页码：51 / 71

页数：21

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