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• W2989463802 abstract "We investigate linear operators between C$^ast$-algebras which approximately preserve involution and orthogonality, the latter meaning that for some $varepsilon>0$ we have $|phi(x)phi(y)|leqvarepsilon|x||y|$ for all positive $x,y$ with $xy=0$. We establish some structural properties of such maps concerning approximate Jordan-like equations and almost commutation relations. In some situations (e.g. when the codomain is finite-dimensional), we show that $phi$ can be approximated by an approximate Jordan $^ast$-homomorphism, with both errors depending only on $|phi|$ and $varepsilon$." @default.
• W2989463802 created "2019-11-22" @default.
• W2989463802 creator A5050220284 @default.
• W2989463802 date "2019-11-05" @default.
• W2989463802 modified "2023-09-27" @default.
• W2989463802 title "Approximately order zero maps between C*-algebras" @default.
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