POSITIVE DEFINITE FUNCTIONS AND DUAL PAIRS OF LOCALLY CONVEX SPACES

被引：1

作者：

Alpay, Daniel ^{[1
]}

Gabriyelyan, Saak ^{[2
]}

机构：

[1] Chapman Univ, Dept Math, One Univ Dr, Orange, CA 92866 USA

[2] Ben Gurion Univ Negev, Dept Math, POB 653, IL-84105 Beer Sheva, Israel

来源：

OPUSCULA MATHEMATICA | 2018年 / 38卷 / 04期

关键词：

positive definite function; locally convex space; dual pair; the (strong) factorization property; dilation theory;

D O I：

10.7494/OpMath.2018.38.4.463

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using pairs of locally convex topological vector spaces in duality and topologies defined by directed families of sets bounded with respect to the duality, we prove general factorization theorems and general dilation theorems for operator-valued positive definite functions.

引用

页码：463 / 482

页数：20

共 10 条

[1] ARONSZAJN KOLMOGOROV TYPE THEOREMS FOR POSITIVE DEFINITE KERNELS IN LOCALLY CONVEX-SPACES [J].