Kolmogorov decomposition of conditionally completely positive definite kernels
type: Item
instance of: scholarly article
title: Kolmogorov decomposition of conditionally completely positive definite kernels
zbMATH Open document ID: 1472.46060
author: Mostafa Ghaemi
author: Mohammad Sal Moslehian
author: Qingxiang Xu
published in: Positivity
publication date: 2021-05-07T00:00:00Z
review text: The authors study conditionally completely positive definite kernels taking values in the algebra of bounded self-maps of a \(C^*\)-algebra. The main result is the Kolmogorov decomposition for conditionally completely positive definite kernels satisfying certain algebraic properties. The authors also present a characterization of conditionally completely positive definite kernels majorized by a kernel under some mild conditions, and find a sufficient condition for the existence of an extreme point of a convex set consisting of some special kernels.
Mathematics Subject Classification ID: 46L08
Mathematics Subject Classification ID: 46L05
zbMATH DE Number: 7345582
zbMATH Keywords: Kolmogorov decomposition
zbMATH Keywords: completely positive definite kernel
zbMATH Keywords: conditionally completely positive definite kernel
zbMATH Keywords: extreme point
reviewed by: Vladimir M. Manuilov
MaRDI profile type: Publication
full work available at URL: s11117-020-00777-3
OpenAlex ID: W3038079213
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DOI: 10.1007/S11117-020-00777-3
description: scientific article; zbMATH DE number 7345582