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Linear Preservers of Chain Majorization
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نویسنده
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Torabian P.
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منبع
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journal of mathematical extension - 2008 - دوره : 3 - شماره : 1 - صفحه:1 -11
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چکیده
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For (nxmmatrices) x,y e mnm(lr)(= mnm), we sayx is chain majorized by y and write x « y if x = ry wherer is a product of finitely many t-transforms. a linear operator t: mnm ---> mnm is said to be a linear preserver of the relation --:--:on mnm if x« y implies that tx «ty. also, it is said tobe strong linear preserver if x « y is equivalent to tx«ty.in this paper we characterize linear and strong linear preservers of«
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کلیدواژه
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Doubly stochastic matrix ,chain rnajorization ,left multivariate majorization ,T-transform ,permutation ,linear preserver ,strong linear preserver
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آدرس
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Islamic Azad University-Jahrom Branch, Department of Mathematics, ایران
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پست الکترونیکی
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parisatorabian@yahoo.com
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Authors
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