latin-majorization and its linear preservers

نویسندگان

mohammad ali hadian nadoshan

department of mathematics, vali-e-asr university of rafsanjan, zip code: 7718897111, rafsanjan, iran. hamid reza afshin

department of mathematics, vali-e-asr university of rafsanjan, zip code: 7718897111, rafsanjan, iran.

چکیده

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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Latin-majorization and its linear preservers

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عنوان ژورنال:
sahand communications in mathematical analysis

جلد ۵، شماره ۱، صفحات ۴۱-۴۷

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