Some automatic continuity theorems for operator algebras and centralizers of Pedersen's ideal
type: Item
instance of: scholarly article
title: Some automatic continuity theorems for operator algebras and centralizers of Pedersen's ideal
zbMATH Open document ID: 1381.46044
author: Lawrence G. Brown
published in: Integral Equations and Operator Theory
publication date: 2016-11-29T00:00:00Z
full work available at URL: https://arxiv.org/abs/1404.2897
review text: Automatic continuity theorems for (purely) decomposable and local linear transformations between certain subspaces of operator algebras are obtained. It is also proved that all left centralizers of the Pedersen ideal of a \(C^*\)-algebra \(A\) are locally bounded if and only if \(A\) has no infinite-dimensional elementary direct summand.
reviewed by: Wu Jing
Mathematics Subject Classification ID: 46L05
Mathematics Subject Classification ID: 46H40
zbMATH DE Number: 6657307
zbMATH Keywords: Pedersen's ideal
zbMATH Keywords: centralizer
zbMATH Keywords: multiplier
zbMATH Keywords: decomposable linear transformation
zbMATH Keywords: automatic continuity
MaRDI profile type: Publication
OpenAlex ID: W2963682373
arXiv ID: 1404.2897
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DOI: 10.1007/S00020-016-2321-2
description: scientific article; zbMATH DE number 6657307