Linear Functions Preserving Multivariate and Directional Majorization

Author(s):

A. Armandnejad , H. R. Afshin

Message:
Abstract:
Let V and W be two real vector spaces and let ∼ be a relation on both V and W. A linear function T: V → W is said to be a linear preserver (respectively strong linear preserver) of ∼ if Tx ∼ Ty whenever x ∼ y (respectively Tx ∼ Ty if and only if x ∼ y). In this paper we characterize all linear functions T: M_{n,m} → M_{n,k} which preserve or strongly preserve multivariate and directional majorization.
Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:5 Issue: 1, May 2010
Page:
1
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