Moment problems for multi-sequences of operators
type: Item
instance of: scholarly article
title: Moment problems for multi-sequences of operators
zbMATH Open document ID: 0921.47016
published in: Journal of Mathematical Analysis and Applications
publication date: 1999-09-30T00:00:00Z
review text: A compact subset of \(\mathbb{R}^n\) is called semi-algebraic if it is the set of points at which a finite family of polynomials is nonnegative. For such sets, the author characterizes the moment sequences in terms of positivity of a linear form on polynomials associated with the given multisequence. The result is applied to characterizing subnormality of certain commuting multioperators.
Mathematics Subject Classification ID: 47A57
Mathematics Subject Classification ID: 44A60
zbMATH DE Number: 1215734
zbMATH Keywords: polynomials in several variables
zbMATH Keywords: moment sequences
zbMATH Keywords: subnormality
zbMATH Keywords: commuting multioperators
author: Florian-Horia Vasilescu
reviewed by: Jaroslav Zemánek
MaRDI profile type: Publication
full work available at URL: jmaa.1997.5787
OpenAlex ID: W1963768551
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DOI: 10.1006/JMAA.1997.5787
description: scientific article; zbMATH DE number 1215734