G-invariant norms and G(c)-radii
type: Item
instance of: scholarly article
title: G-invariant norms and G(c)-radii
zbMATH Open document ID: 0722.15027
DOI: 10.1016/0024-3795(91)90168-V
author: Chi-Kwong Li
author: Nam-Kiu Tsing
published in: Linear Algebra and its Applications
publication date: 1991-01-01T00:00:00Z
review text: Let V be a finite-dimensional inner product space over F \((=C\) or R), and let G be a closed subgroup of the group of unitary operators on V. A norm \(\| \cdot \|\) on V is said to be G-invariant if \(\| g(x)\| =\| x\|\) for all \(g\in G\), \(x\in V\). The authors discuss the general properties of a G-invariant norm. Linear operators on V that preserve G-invariant norms are also investigated. Several open problems are mentioned.
reviewed by: Shaokuan Li
Mathematics Subject Classification ID: 15A60
Mathematics Subject Classification ID: 15A04
zbMATH DE Number: 4189936
zbMATH Keywords: G(c)-radii
zbMATH Keywords: inner product space
zbMATH Keywords: unitary operators
zbMATH Keywords: G-invariant norm
MaRDI profile type: Publication
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full work available at URL: 0024-3795(91)90168-v
OpenAlex ID: W2079664268
description: scientific article; zbMATH DE number 4189936