The structure of strong linear preservers of gw-majorization on $ \mathbf{M}_{{n,m}

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dc.creatorArmandnejad, A.
dc.creatorSalemi, A.
dc.date2008-07-31
dc.date.accessioned2026-07-07T09:54:01Z
dc.date.available2026-07-07T09:54:01Z
dc.descriptionLet M_{n,m} be the set of all n by m matrices with entries in F, where F is the field of real or complex numbers. A matrix R in M_{n} with the property Re=e, is said to be a g-row stochastic (generalized row stochastic) matrix. Let A,B in M_{n,m}, so B is said to be gw-majorized by A if there exists an n by n g-row stochastic matrix R such that B=RA. In this paper we characterize all linear operators that strongly preserve gw-majorization on M_{n,m} and all linear operators that strongly preserve matrix majorization on M_{n} .
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/0807.5094
dc.identifierhttp://arxiv.org/abs/0807.5094
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166164
dc.subjectFunctional Analysis
dc.subject15A03, 15A04, 15A51
dc.titleThe structure of strong linear preservers of gw-majorization on $ \mathbf{M}_{{n,m}
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