Let X be an infinite-dimensional complex Banach space,and B(X)the algebra of all bounded linear operators on X.Given an integer n≥1,we characterize all the bijective maps on B(X)preserving the difference of semi-Fred...Let X be an infinite-dimensional complex Banach space,and B(X)the algebra of all bounded linear operators on X.Given an integer n≥1,we characterize all the bijective maps on B(X)preserving the difference of semi-Fredholm operators with nullity equal to n in both directions,and establish the structure of the given maps.展开更多
基金Natural Science Basic Research Plan in Shaanxi Province(Grant No.2023-JC-YB-050)Overseas Students Science and Technology Activities Project Merit Funding in Shaanxi Province(Grant No.2022-018)Shaanxi Fundamental Science Research Project for Mathematics and Physics(Grant No.23JSQ038)。
文摘Let X be an infinite-dimensional complex Banach space,and B(X)the algebra of all bounded linear operators on X.Given an integer n≥1,we characterize all the bijective maps on B(X)preserving the difference of semi-Fredholm operators with nullity equal to n in both directions,and establish the structure of the given maps.
