C*-代数上在正交元处表现为导子或反导子的线性映射
算子代数
2020-01-27 v1 泛函分析
摘要
设A为C*-代数，d为从A到A**的连续线性映射。我们假设d在若干类正交条件（如ab=0、ab*=0、ab=ba=0以及ab*=b*a=0）下的正交元处表现为导子或反导子。在每种情形下，我们刻画了d的结构。随后我们将结果应用于von Neumann代数与含单位元的单C*-代数。
引用
@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}
}
备注
Bull. Malays. Math. Sci. Soc. (2019). arXiv admin note: text overlap with arXiv:1806.01019