科研之友
微信
新浪微博
Facebook
分享链接
摘要
In 2003, Araujo and Jarosz showed that every bijective linear map theta : A -> B between unital standard operator algebras preserving zero products in two ways is a scalar multiple of an inner automorphism. Later in 2007, Zhao and Hou showed that similar results hold if both A, B are unital standard algebras on Hilbert spaces and theta preserves range or domain orthogonality. In particular, such maps are automatically bounded. In this paper, we will study linear orthogonality preservers in a unified way. We will show that every surjective linear map between standard operator algebras preserving range/domain orthogonality carries a standard form, and is thus automatically bounded.
- 出版日期2010-6
- 单位中山大学
