SGLT-MAJORIZATION ON Mn,m AND ITS LINEAR PRESERVERS
Publish place: Journal of Mahani Mathematical Research، Vol: 7، Issue: 2
Publish Year: 1397
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_KJMMRC-7-2_003
تاریخ نمایه سازی: 5 خرداد 1398
Abstract:
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.
Authors
asma ilkhanizadeh manesh
vali-e-asr University
Mohammad Mehdi Zahedi
Department of Mathematics Graduate University of Advanced Technology, Kerman, Iran
Khadijeh Abolpour
Department of Mathematics Shiraz Branch, Islamic Azad University Shiraz, Iran