Linear disjointness preservers of operator algebras and related structures

被引:0
|
作者
Jung-Hui Liu
Chun-Yen Chou
Ching-Jou Liao
Ngai-Ching Wong
机构
[1] Sanming University,School of Information Engineering
[2] National Dong Hwa University,Department of Applied Mathematics
[3] Hong Kong Baptist University,Department of Mathematics
[4] National Sun Yat-sen University,Department of Applied Mathematics
来源
Acta Scientiarum Mathematicarum | 2018年 / 84卷 / 1-2期
关键词
46L40; 46L10; 46H40; zero product preservers; orthogonality preservers; Jordan homomorphisms; Fourier algebras; Hilbert ; *-modules; holomorphic maps of ; *-algebras;
D O I
10.14232/actasm-018-267-7
中图分类号
学科分类号
摘要
We survey some recent studies of linear zero product or orthogonality preservers between C*/W*-algebras, their dual or predual spaces,and holomorphic disjointness preservers of C*-algebras. Such maps are expected to provide algebra or linear Jordan (*-) homomorphisms between the underlying operator algebras. We also study orthogonality preservers between Hilbert C*-modules and Fourier algebras. A few open problems are stated.
引用
收藏
页码:277 / 307
页数:30
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