Approximately order zero maps between Cβ-algebras
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2021.109025
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 $\|\phi(x)\phi(y)\|\leq\varepsilon\|x\|\|y\|$ for all positive $x,y$ with $xy=0$. We establish some structural properties of such… read more here.
Keywords: zero maps; maps algebras; algebras approximately; order zero ... See more keywords
Completely positive maps of order zero on pro-πΆβ-algebras
Sign Up to like & getrecommendations! Published in 2020 at "Forum Mathematicum"
DOI: 10.1515/forum-2020-0012
Abstract: Abstract We extend the definition of order zero maps to the setting of pro-C*{C^{*}}-algebras and generalize structure theorems of order zero maps between C*{C^{*}}-algebras to strongly bounded order zero maps between pro-Cβ{C^{\ast}}-algebras. An application to… read more here.
Keywords: zero maps; order; pro algebras; positive maps ... See more keywords