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Published in 2018 at "Results in Mathematics"
DOI: 10.1007/s00025-018-0916-4
Abstract: In this paper, we determine the structure of Schatten p-norm additive maps on the set of positive invertible elements of a $$C^{*}$$C∗-algebra carrying a faithful normalized trace. It turns out that any such transformation originates…
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Keywords:
positive definite;
maps positive;
cone varvec;
additive maps ... See more keywords
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Published in 2017 at "Communications in Algebra"
DOI: 10.1080/00927872.2016.1236937
Abstract: ABSTRACT We study bi-additive maps of ξ-Lie product type satisfying certain local property from the viewpoint of functional identities. Let R be a unital prime ring with extended centroid C, ξ∈C, and maximal left ring…
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Keywords:
maps lie;
product type;
lie product;
additive maps ... See more keywords
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Published in 2019 at "Hacettepe Journal of Mathematics and Statistics"
DOI: 10.15672/hujms.661178
Abstract: Let $R$ be an associative ring. An additive map $x\mapsto x^*$ of $R$ into itself is called an involution if (i) $(xy)^*=y^*x^*$ and (ii) $(x^*)^*=x$ hold for all $x\in R$. The main purpose of this…
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Keywords:
involution;
semiprime rings;
maps prime;
rings involution ... See more keywords