关于 $C^*$-代数间强Birkhoff-James正交性保持映射
算子代数
2025-10-29 v1
摘要
证明了每个线性强Birkhoff-James异构映射 between unital -algebras 都是一个 -异构映射 followed by a unitary multiplication. 此外，作为该结果在非唯一一情况下的部分推广，确定了 compact -algebras 之间（可能非线性的）强Birkhoff-James异构映射的形式。还给出了以强Birkhoff-James正交性为特征描述 compact -algebras 的非线性特征。
引用
@article{arxiv.2510.24308,
title = {On preservers of strong Birkhoff-James orthogonality between $C^*$-algebras},
author = {Bojan Kuzma and Srdjan Stefanović and Ryotaro Tanaka},
journal= {arXiv preprint arXiv:2510.24308},
year = {2025}
}