A matrix R is said to be g-row substochastic if Re ≤ e. For X, Y ∈ Mn,m, it is said that X is sglt-majorized by Y , X ≺sglt Y , if there exists an n-by-n lower triangular g-row substochastic matrix R such that X = RY . This paper characterizes all (strong) linear preservers and strong linear preservers of ≺sglt on Rn and Mn,m, respectively.
Ilkhanizadeh Manesh, A. (2018). SGLT-MAJORIZATION ON Mn,m AND ITS LINEAR PRESERVERS. Journal of Mahani Mathematical Research, 7(2), 95-104. doi: 10.22103/jmmrc.2019.12385.1061
MLA
Asma Ilkhanizadeh Manesh. "SGLT-MAJORIZATION ON Mn,m AND ITS LINEAR PRESERVERS", Journal of Mahani Mathematical Research, 7, 2, 2018, 95-104. doi: 10.22103/jmmrc.2019.12385.1061
HARVARD
Ilkhanizadeh Manesh, A. (2018). 'SGLT-MAJORIZATION ON Mn,m AND ITS LINEAR PRESERVERS', Journal of Mahani Mathematical Research, 7(2), pp. 95-104. doi: 10.22103/jmmrc.2019.12385.1061
VANCOUVER
Ilkhanizadeh Manesh, A. SGLT-MAJORIZATION ON Mn,m AND ITS LINEAR PRESERVERS. Journal of Mahani Mathematical Research, 2018; 7(2): 95-104. doi: 10.22103/jmmrc.2019.12385.1061