Linear maps between C-algebras that are -homomorphisms at a fixed point

Let $A$ and $B$ be C$^*$-algebras. A linear map $T:A\to B$ is said to be a $^*$-homomorphism at an element $z\in A$ if $a b^*=z$ in $A$ implies $T (a b^*) =T (a) T (b)^* =T(z)$, and $ c^* d=z$ in $A$ gives $T (c^* d) =T (c)^* T (d) =T(z).$ Assuming that $A$ is unital, we prove that every linear map...

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Hauptverfasser:	Burgos, María J, Cabello-Sánchez, J, Peralta, Antonio M
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Operator Algebras
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