$$*$$-Lie–Jordan-Type Maps on $$C^*$$-Algebras
Sign Up to like & getrecommendations! Published in 2021 at "Bulletin of the Iranian Mathematical Society"
DOI: 10.1007/s41980-021-00609-4
Abstract: Let A and A' be two Cstar-algebras with identities I_A and I_A', respectively, and P_1 and P_2 = I_A - P_1 nontrivial projections in A. In this paper we study the characterization of multiplicative star-Lie-Jordan-type… read more here.
Keywords: jordan type; type maps; lie jordan; maps algebras ... See more keywords
Approximately order zero maps between C⁎-algebras
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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
Additivity of Quadratic Maps on JB Algebras
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DOI: 10.1134/s1995080219100123
Abstract: The problem of automatic additivity of Jordan type homomorphisms has received a great deal of attention in theory of operator algebras as well in ring theory. We study additivity of quadratic maps, that is the… read more here.
Keywords: maps algebras; theory; quadratic maps; additivity ... See more keywords