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.
引用
收藏
页码：1670 / 1678
页数：9
相关论文
共 50 条
  • [41] Maps preserving semi-Fredholm operators on Hilbert C*-modules
    Aghasizadeh, T.
    Hejazian, S.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 354 (02) : 625 - 629
  • [42] Additive mappings on von Neumann algebras preserving absolute values
    Radjabalipour, M
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 368 : 229 - 241
  • [43] Some zero product preserving additive mappings of operator algebras
    Huang, Wenbo
    Li, Jiankui
    Pan, Shaoze
    AIMS MATHEMATICS, 2024, 9 (08): : 22213 - 22224
  • [44] Minimal Rank Preserving Additive Mappings on Upper Triangular Matrices
    Yu GUOJin Chuan HOU Department of MathematicsShanxi Datong UniversityShanxi PRChinaDepartment of MathematicsShanxi UniversityShanxi PRChinaDepartment of MathematicsTaiyuan University of TechnologyShanxi PRChina
    数学研究与评论, 2011, 31 (06) : 951 - 964
  • [45] Minimal Rank Preserving Additive Mappings on Upper Triangular Matrices
    Yu GUO1
    2.Department of Mathematics
    3.Department of Mathematics
    Journal of Mathematical Research with Applications, 2011, (06) : 951 - 964
  • [46] Nonlinear mappings preserving the kernel or range of skew product of operators
    Benbouziane, H.
    El Kettani, M. Ech-Cherif
    Vadel, Ahmedou Mohamed
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2023, (50): : 168 - 177
  • [47] Mappings preserving generalized and hyper-generalized projection operators
    Benbouziane, Hassane
    Chadli, Kaddour
    El Kettani, Mustapha Ech-cherif
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2025, 710 : 418 - 447
  • [48] Additive maps preserving the reduced minimum modulus of operators
    Bendaoud, Mohamed
    ACTA SCIENTIARUM MATHEMATICARUM, 2011, 77 (1-2): : 337 - 346
  • [49] Additive Maps Preserving Similarity of Operators on Banach Spaces
    Jin Chuan Hou
    Xiu Ling Zhang
    Acta Mathematica Sinica, 2006, 22 : 179 - 186
  • [50] Additive maps preserving the minimum and surjectivity moduli of operators
    Mohamed Bendaoud
    Archiv der Mathematik, 2009, 92 : 257 - 265
12345