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G-tridiagonal majorization on Mn,m

G-tridiagonal majorization on Mn,m AbstractFor X, Y ∈ Mn,m, it is said that X is g-tridiagonal majorized by Y (and it is denoted by X ≺gt Y) if there exists a tridiagonal g-doubly stochastic matrix A such that X = AY. In this paper, the linear preservers and strong linear preservers of ≺gt are characterized on Mn,m. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Communications in Mathematics de Gruyter

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Publisher
de Gruyter
Copyright
© 2021 Ahmad Mohammadhasani et al., published by Sciendo
eISSN
2336-1298
DOI
10.2478/cm-2021-0027
Publisher site
See Article on Publisher Site

Abstract

AbstractFor X, Y ∈ Mn,m, it is said that X is g-tridiagonal majorized by Y (and it is denoted by X ≺gt Y) if there exists a tridiagonal g-doubly stochastic matrix A such that X = AY. In this paper, the linear preservers and strong linear preservers of ≺gt are characterized on Mn,m.

Journal

Communications in Mathematicsde Gruyter

Published: Dec 1, 2021

Keywords: G-doubly stochastic matrix; gt-majorization; (strong) linear preserver; tridiagonal matrices; 15A04; 15A21

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