Radjavi's trace condition for triangularizability
type: Item
instance of: scholarly article
title: Radjavi's trace condition for triangularizability
zbMATH Open document ID: 0626.47019
DOI: 10.1016/0021-8693(87)90172-4
published in: Journal of Algebra
publication date: 1987-01-01T00:00:00Z
review text: Some extensions of triangularizability conditions are obtained. In such a way, it is proved that Radjavi's commuting trace condition is equivalent to triangularizability for a semigroup of finite rank transformations on a possibly infinite-dimensional vector space. Also, some results of Laurie, Nordgren, Radjavi and Rosenthal about triangularizability of a norm closed algebra of compact operators on a Hilbert space are extended. Compairing the algebraic and the operator theoretic results, in the end of the paper two questions arise.
Mathematics Subject Classification ID: 47A66
Mathematics Subject Classification ID: 47B06
Mathematics Subject Classification ID: 47D03
Mathematics Subject Classification ID: 46H10
zbMATH DE Number: 4017685
zbMATH Keywords: extensions of triangularizability conditions
zbMATH Keywords: Radjavi's commuting trace condition
zbMATH Keywords: triangularizability for a semigroup of finite rank transformations on a possibly infinite-dimensional vector space
zbMATH Keywords: triangularizability of a norm closed algebra of compact operators on a Hilbert space
author: Don Hadwin
MaRDI profile type: Publication
full work available at URL: 0021-8693(87)90172-4
OpenAlex ID: W2010205360
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description: scientific article; zbMATH DE number 4017685