On invertibility preserving linear maps, simultaneous triangularization and Property L

Simple item page
dc.creatorChristensen, Erik
dc.date1997-02-18
dc.date.accessioned2026-07-07T09:13:45Z
dc.date.available2026-07-07T09:13:45Z
dc.descriptionLet F be a linear unital map of a unital matrix algebra A over the complex numbers into the complex n by n matrices. Then F induces a linear unital map Fk of the k by k matrices over A into the complex nk by nk matrices by the action of F on each entry in the k by k matrices. If Fk preserves invertibility and k is greater than dim(alg(F(A)))-dim(F(A))+2 then F is a homomorphism modulo the Jacobson radical in alg(F(A)). The paper also contains some results related to the property L and some sufficient conditions for simultaneous triangularization of sets of matrices.
dc.descriptionamstex, 18 pages
dc.identifierhttps://arxiv.org/abs/funct-an/9702017
dc.identifierhttp://arxiv.org/abs/funct-an/9702017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152435
dc.subjectFunctional Analysis
dc.subjectOperator Algebras
dc.titleOn invertibility preserving linear maps, simultaneous triangularization and Property L
dc.typetext

Files

Collections

arXiv