ADDITIVE MAPPINGS PRESERVING FREDHOLM OPERATORS WITH FIXED NULLITY OR DEFECT  

作　　者：Ruihan ZHANG Weijuan SHI Guoxing JI 张芮涵;史维娟;吉国兴(School of Mathematics and Information Science,Shaanxi Normal University,Xi'an 710119,China)

机构地区：[1]School of Mathematics and Information Science,Shaanxi Normal University,Xi'an 710119,China

出　　处：《Acta Mathematica Scientia》2021年第5期1670-1678,共9页数学物理学报（B辑英文版）

基　　金：supported by National Natural Science Foundation of China(11771261,11701351);Natural Science Basic Research Plan in Shaanxi Province of China(2018JQ1082);the Fundamental Research Funds for the Central Universities(GK202103007,GK202107014).

摘　　要：Let X be an infinite-dimensional real or complex Banach space,and B(X)the Banach algebra of all bounded linear operators on X.In this paper,given any non-negative integer n,we characterize the surjective additive maps on B(X)preserving Fredholm operators with fixed nullity or defect equal to n in both directions,and describe completely the structure of these maps.

关 键 词：Fredholm operator additive preserver NULLITY DEFECT 

分 类 号：O177.2[理学—数学]