Hadian Nadoshan, M., Afshin, H. (2017). Latin-majorization and its linear preservers. Sahand Communications in Mathematical Analysis, 5(1), 41-47.

Mohammad Ali Hadian Nadoshan; Hamid Reza Afshin. "Latin-majorization and its linear preservers". Sahand Communications in Mathematical Analysis, 5, 1, 2017, 41-47.

Hadian Nadoshan, M., Afshin, H. (2017). 'Latin-majorization and its linear preservers', Sahand Communications in Mathematical Analysis, 5(1), pp. 41-47.

Hadian Nadoshan, M., Afshin, H. Latin-majorization and its linear preservers. Sahand Communications in Mathematical Analysis, 2017; 5(1): 41-47.

^{}Department of Mathematics, Vali-e-Asr University of Rafsanjan, Zip Code: 7718897111, Rafsanjan, Iran.

Abstract

In this paper we study the concept of Latin-majorizati-\\on. Geometrically this concept is different from other kinds of majorization in some aspects. Since the set of all $x$s Latin-majorized by a fixed $y$ is not convex, but, consists of union of finitely many convex sets. Next, we hint to linear preservers of Latin-majorization on $ \mathbb{R}^{n}$ and ${M_{n,m}}$.

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