نتایج جستجو برای: almost additive maps

تعداد نتایج: 369541  

Journal: :Proceedings of the American Mathematical Society 1971

Journal: :Proceedings of the American Mathematical Society 1997

Journal: :Journal of the Korean Mathematical Society 2007

2017
Marko Orel Bojan Kuzma

A complete classification of additive rank–one nonincreasing maps on hermitian matrices over Galois field GF (22) is obtained. This field is special and was not covered in a previous paper. As a consequence, some known applications, like the classification of additive rank–additivity preserving maps, are extended to arbitrary fields. An application concerning the preservers of hermitian varieti...

2009
MARKO OREL

A complete classification of additive rank–one nonincreasing maps on hermitian matrices over Galois field GF (22) is obtained. This field is special and was not covered in a previous paper. As a consequence, some known applications, like the classification of additive rank–additivity preserving maps, are extended to arbitrary fields. An application concerning the preservers of hermitian varieti...

2007
WU JING

We prove that Jordan triple elementary surjective maps on unital rings containing a nontrivial idempotent are automatically additive. The first result about the additivity of maps on rings was given by Martindale III in an excellent paper [7]. He established a condition on a ring R such that every multiplicative bijective map on R is additive. More precisely, he proved the following theorem. Th...

Let $mathcal {A} $ and $mathcal {B} $ be C$^*$-algebras. Assume that $mathcal {A}$ is of real rank zero and unital with unit $I$ and $k>0$ is a real number. It is shown that if $Phi:mathcal{A} tomathcal{B}$ is an additive map preserving $|cdot|^k$ for all normal elements; that is, $Phi(|A|^k)=|Phi(A)|^k $ for all normal elements $Ainmathcal A$, $Phi(I)$ is a projection, and there exists a posit...

Journal: :Linear Algebra and its Applications 2015

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