Norm-Additive Maps on the Positive Definite Cone of a $$\varvec{C^{*}}$$C∗-Algebra
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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… read more here.
Keywords: positive definite; maps positive; cone varvec; additive maps ... See more keywords
Bi-additive maps of ξ-Lie product type vanishing on zero products of XY and YX
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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… read more here.
Keywords: maps lie; product type; lie product; additive maps ... See more keywords
Additive maps preserving products equal to fixed elements on Cayley-Dickson algebras
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DOI: 10.1080/00927872.2024.2431889
Abstract: Abstract– In this paper, we study additive maps f:A→A on an alternative Cayley-Dickson algebra A satisfying the product preserving property: f(x)f(y)=m whenever xy = k, where k and m are constant elements of A .… read more here.
Keywords: dickson algebras; maps preserving; cayley dickson; algebra ... See more keywords
Additive maps on prime and semiprime rings with involution
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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… read more here.
Keywords: involution; semiprime rings; maps prime; rings involution ... See more keywords
Additive maps preserving inner inverses on B(X)
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DOI: 10.2298/fil2406923b
Abstract: Let B(X) be the algebra of all bounded linear operators on a complex Banach space X. In this paper, we determine the structures of all additive surjective maps on B(X) preserving inner inverses in both… read more here.
Keywords: maps preserving; preserving inner; algebra; inner inverses ... See more keywords