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Maps Preserving Semi-Fredholm Operators with Fixed Nullity

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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.

operator algebraadjacencypreserver mapsemi-Fredholm operator

Mengran NI、Weijuan SHI

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Department of Mathematics,Shaanxi Normal University,Shaanxi 710119,P.R.China

Natural Science Basic Research Plan in Shaanxi ProvinceOverseas Students Science and Technology Activities Project Merit Funding in Shaanxi ProvinceShaanxi Fundamental Science Research Project for Mathematics and Physics

2023-JC-YB-0502022-01823JSQ038

2024

10.3770/j.issn:2095-2651.2024.04.012

数学研究及应用
大连理工大学

数学研究及应用

影响因子：0.094
ISSN：2095-2651
年,卷(期)：2024.44(4)