Preserving zeros of Lie product on alternate matrices
نویسندگان
چکیده
منابع مشابه
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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متن کاملlinear 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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نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.
15 صفحه اولLinear maps preserving rank 2 on the space of alternate matrices and their applications
Denote by n(F) the linear space of all n×n alternate matrices over a field F. We first characterize all linear bijective maps on n(F) (n ≥ 4) preserving rank 2 when F is any field, and thereby the characterization of all linear bijective maps on n(F) preserving the max-rank is done when F is any field except for {0,1}. Furthermore, the linear preservers of the determinant (resp., adjoint) on n(...
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ژورنال
عنوان ژورنال: Special Matrices
سال: 2016
ISSN: 2300-7451
DOI: 10.1515/spma-2016-0009