Linear maps preserving inner functions

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Linear maps preserving or strongly preserving majorization on matrices

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linear maps preserving or strongly preserving majorization on matrices

for $a,bin m_{nm},$ we say that $a$ is left matrix majorized (resp. left matrix submajorized) by $b$ and write $aprec_{ell}b$ (resp. $aprec_{ell s}b$), if $a=rb$ for some $ntimes n$ row stochastic (resp. row substochastic) matrix $r.$ moreover, we define the relation $sim_{ell s} $ on $m_{nm}$ as follows: $asim_{ell s} b$ if $aprec_{ell s} bprec_{ell s} a.$ this paper characterizes all linear p...

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ژورنال

عنوان ژورنال: Studia Mathematica

سال: 2019

ISSN: 0039-3223,1730-6337

DOI: 10.4064/sm170724-13-12