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An equivalent condition for linear preservers of multivariate group majorization on matrices
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نویسنده
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soleymania mohammad ,salemib abbas
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منبع
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wavelets and linear algebra - 2023 - دوره : 10 - شماره : 2 - صفحه:71 -80
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چکیده
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T. ando characterized linear preservers of majorization in [lin-ear algebra appl. 118 (1989) 163-248]. in this note, we present a method to state a simple proof of ando’s theorem. by using this method, we state an equivalent condition for matrix repre-sentations of linear preservers of g-majorization on matrices,where g is a finite subgroup of orthogonal group o(rn). more-over, we introduce reflective majorization and characterize all its linear preservers.
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آدرس
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shahid bahonar university of kerman, faculty of mathematics and computer, department of pure mathematics, Iran, shahid bahonar university of kerman, faculty of mathematics and computer, department of applied mathematics, Iran
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Authors
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