Norm estimates for multiplication operators in Hilbert algebras
type: Item
instance of: scholarly article
title: Norm estimates for multiplication operators in Hilbert algebras
zbMATH Open document ID: 1029.46058
DOI: 10.1023/A:1019858230379
author: A. N. Urinovskii
published in: Mathematical Notes
publication date: 2003-06-15T00:00:00Z
review text: The author shows that, for the bilinear operator defined by the operation of multiplication in an arbitrary associative algebra \(V\) with unit \(e_0\) over \(\mathbb{R}\) or \(\mathbb{C}\), the infimum of its norm with respect to all scalar products in this algebra (with \(\|e_0\|=1)\) is either infinite or at most \(\sqrt{4/3}\). He presents sufficient conditions for this bound to be not less than \(\sqrt{4/3}\).
Mathematics Subject Classification ID: 46H05
Mathematics Subject Classification ID: 46K15
zbMATH DE Number: 1928283
zbMATH Keywords: multiplication operator
zbMATH Keywords: Hilbert algebra
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: a:1019858230379
OpenAlex ID: W141774773
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description: scientific article; zbMATH DE number 1928283