Maps Preserving Semi-Fredholm Operators with Fixed Nullity  

作　　者：Mengran NI Weijuan SHI 

机构地区：[1]Department of Mathematics,Shaanxi Normal University,Shaanxi 710119,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2024年第4期533-540,共8页数学研究及应用（英文版）

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)。

摘　　要：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.

关 键 词：operator algebra ADJACENCY preserver map semi-Fredholm operator 

分 类 号：O177[理学—数学]