Linear maps behaving like derivations or anti-derivations at orthogonal elements on C*-algebras
Operator Algebras
2020-01-27 v1 Functional Analysis
Abstract
Let A be a C*-algebra and d from A into A** be a continuous linear map. We assume that d acts like derivation or anti-derivation at orthogonal elements for several types of orthogonality conditions such as ab=0, ab*=0, ab=ba=0 and ab*=b*a=0. In each case, we characterize the structure of d. Then we apply our results for von Neumann algebras and unital simple C*-algebras.
Keywords
Cite
@article{arxiv.1907.03594,
title = {Linear maps behaving like derivations or anti-derivations at orthogonal elements on C*-algebras},
author = {Behrooz Fadaee and Hoger Ghahramani},
journal= {arXiv preprint arXiv:1907.03594},
year = {2020}
}
Comments
Bull. Malays. Math. Sci. Soc. (2019). arXiv admin note: text overlap with arXiv:1806.01019