Absolutely convergent extensions of nonclosable positive linear functionals
type: Item
instance of: scholarly article
title: Absolutely convergent extensions of nonclosable positive linear functionals
zbMATH Open document ID: 1202.46057
author: Giorgia Bellomonte
author: Camillo Trapani
author: Salvatore Triolo
published in: Mediterranean Journal of Mathematics
publication date: 2010-06-29T00:00:00Z
review text: Let \(A\) be a topological {*}-algebra with a continuous involution and let \(A_0\) be a dense {*}-subalgebra. The authors consider the question when a (not necessarily continuous or not even closable) positive linear functional \(\omega\) on \(A_0\) can be extended to a larger subalgebra or subspace of \(A\). They obtain some sufficient conditions in this direction.
reviewed by: Wiesław Tadeusz Żelazko
Mathematics Subject Classification ID: 46K05
Mathematics Subject Classification ID: 47A07
zbMATH DE Number: 5728327
zbMATH Keywords: absolutely convergent extensions
zbMATH Keywords: closable sesquilinear forms
MaRDI profile type: Publication
full work available at URL: s00009-010-0027-2
OpenAlex ID: W2092105734
cites work: Q4791643
cites work: Extensions of positive linear functionals on a topological *-algebra
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cites work: Notes on non-commutative integration
cites work: A non-commutative extension of abstract integration
cites work: Q3876492
cites work: *-Representations, seminorms and structure properties of normed quasi*-algebras
DOI: 10.1007/S00009-010-0027-2
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description: scientific article; zbMATH DE number 5728327