On some dilation theorems for positive definite operator valued functions

被引：3

作者：

Pater, Flavius ^{[1
]}

Binzar, Tudor ^{[1
]}

机构：

[1] Politehn Univ Timisoara, Dept Math, Timisoara 300006, Romania

来源：

STUDIA MATHEMATICA | 2015年 / 228卷 / 02期

关键词：

positive definiteness; Loynes spaces; dilation theorems; SPACES; KERNELS;

D O I：

10.4064/sm228-2-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to prove dilation theorems for operators from a linear complex space to its Z-anti-dual space. The main result is that a bounded positive definite function from a *-semigroup Gamma into the space of all continuous linear maps from a topological vector space X to its Z-anti-dual can be dilated to a *-representation of Gamma on a Z-Loynes space. There is also an algebraic counterpart of this result.

引用

页码：109 / 122

页数：14

共 36 条

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