Additive maps preserving rank-one operators on nest algebras

作者:Bai Zhaofang; Hou Jinchuan; Du Shuanping*
来源:Linear and Multilinear Algebra, 2010, 58(3): 269-283.
DOI:10.1080/03081080801980424

摘要

In this article, we give a thorough discussion of additive maps between nest algebras acting on Banach spaces which preserve rank-one operators in both directions.