Operator norms on L(E)
type: Item
instance of: scholarly article
title: Operator norms on L(E)
zbMATH Open document ID: 0599.47064
DOI: 10.1016/0022-247X(83)90246-9
author: Jen-Chung Chuan
author: Kok-Keong Tan
published in: Journal of Mathematical Analysis and Applications
publication date: 1983-01-01T00:00:00Z
review text: For any Banach space E, all Banach algebra norms on L(E) are equivalent to the given operator norm on L(E). The authors characterize when a Banach algebra norm p on L(E) is an operator norm for some (equivalent) norm on E. In particular, p is an operator norm if and only if it is minimal with resepct to the pointwise ordering on norms; this generalizes a known result for matrices. In fact, the results hold for any closed subalgebra of L(E) that contains the finite rank operators.
Mathematics Subject Classification ID: 47L05
Mathematics Subject Classification ID: 46A32
zbMATH DE Number: 3967208
zbMATH Keywords: Banach algebra norms
zbMATH Keywords: operator norm
zbMATH Keywords: minimal with resepct to the pointwise ordering on norms
MaRDI profile type: Publication
cites work: Q3215824
cites work: Q5294648
cites work: Q5545572
full work available at URL: 0022-247x(83)90246-9
OpenAlex ID: W2028464203
description: scientific article; zbMATH DE number 3967208