ADDITIVE MAPPINGS PRESERVING FREDHOLM OPERATORS WITH FIXED NULLITY OR DEFECT

被引：0
|
作者：
张芮涵 [1 ]
史维娟 [1 ]
吉国兴 [1 ]
机构：
[1] School of Mathematics and Information Science,Shaanxi Normal University
来源：
ActaMathematicaScientia | 2021年 / 41卷 / 05期
基金：
中国国家自然科学基金; 中央高校基本科研业务费专项资金资助;
关键词：
D O I：
暂无
中图分类号：
O177.2 [巴拿赫空间及其线性算子理论];
学科分类号：
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.
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页码：1670 / 1678
页数：9
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