Positive definite functions and dual pairs of locally convex spaces

Daniel Alpay; Saak Gabriyelyan

doi:10.7494/OpMath.2018.38.4.463

Positive definite functions and dual pairs of locally convex spaces

Daniel Alpay, Saak Gabriyelyan

Department of Mathematics

Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	American English
Pages (from-to)	463-482
Number of pages	20
Journal	Opuscula Mathematica
Volume	38
Issue number	4
DOIs	https://doi.org/10.7494/OpMath.2018.38.4.463
State	Published - 1 Jan 2018

Keywords

Dilation theory
Dual pair
Locally convex space
Positive definite function
The (strong) factorization property

All Science Journal Classification (ASJC) codes

General Mathematics

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10.7494/OpMath.2018.38.4.463

Cite this

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KW - The (strong) factorization property

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Positive definite functions and dual pairs of locally convex spaces

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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