Lower order positivity and holomorphic operators
type: Item
instance of: scholarly article
title: Lower order positivity and holomorphic operators
zbMATH Open document ID: 0535.32013
DOI: 10.1016/0022-1236(84)90023-5
author: Jacob Burbea
published in: Journal of Functional Analysis
publication date: 1984-01-01T00:00:00Z
review text: The author gives conditions for holomorphic extensions of operator-valued functions in domains D of \({\mathbb{C}}^ n\) in terms of te positive- definiteness of order 3 of certain Hermitian kernels on \(D\times D\). The results generalize previous results of Hindmarsh, FitzGerald and Horn, and of the author.
Mathematics Subject Classification ID: 32A25
Mathematics Subject Classification ID: 32D15
Mathematics Subject Classification ID: 32K05
Mathematics Subject Classification ID: 47A65
zbMATH DE Number: 3849608
zbMATH Keywords: Pick-Nevanlinna interpolation
zbMATH Keywords: positive-definite kernels
zbMATH Keywords: holomorphic extensions of operator-valued functions
zbMATH Keywords: Hermitian kernels
MaRDI profile type: Publication
full work available at URL: 0022-1236(84)90023-5
OpenAlex ID: W2041475946
cites work: Theory of Reproducing Kernels
cites work: Pick's theorem with operator-valued holomorphic functions
cites work: Operator-valued Pick's conditions and holomorphicity
cites work: Q4405419
cites work: On Quadratic and Bilinear Forms in Function Theory
cites work: Pick's conditions and analyticity
description: scientific article; zbMATH DE number 3849608