Banach空间度量广义逆的乘积扰动

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Banach空间度量广义逆的乘积扰动杜法鹏¹, 薛以锋²1. 徐州工程学院数学与物理科学学院徐州 221008;
2. 华东师范大学算子代数研究中心上海市核心数学与实践重点实验室华东师范大学数学科学学院上海 200241 Multiplicative Perturbations of Metric Generalized Inverse in Banach Space Fa Peng DU¹, Yi Feng XUE²1. School of Mathematical&Physical Sciences, Xuzhou University of Technology, Xuzhou 221008, P. R. China;
2. Research Center for Operator Algebras&Shanghai Key Laboratory of PMMP;School of Mathematical Sciences, East China Normal University, Shanghai 200241, P. R. China

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摘要设X，Y为自反严格凸Banach空间.记A∈B（X，Y）为具有闭值域R（A）的有界线性算子，有界线性算子T=EAF∈B（X，Y）为A的乘积扰动.本文研究了有界线性算子A的Moore-Penrose度量广义逆的乘积扰动.在值域R（A）为α阶一致强唯一和零空间N（A）为β阶一致强唯一的条件下.给出了||T^M-A^M||的上界估计，作为应用，我们在L^p空间上讨论了Moore-Penrose度量广义逆的乘积扰动.

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收稿日期: 2019-03-11

MR (2010):

O177.2

基金资助:国家自然科学基金资助项目（11531003）；上海市科学技术委员会项目（18dz2271000）

作者简介: 杜法鹏,E-mail:jsdfp@163.com;薛以锋,E-mail:yfxue@math.ecnu.edu.cn

引用本文:

杜法鹏, 薛以锋. Banach空间度量广义逆的乘积扰动[J]. 数学学报, 2019, 62(6): 939-948. Fa Peng DU, Yi Feng XUE. Multiplicative Perturbations of Metric Generalized Inverse in Banach Space. Acta Mathematica Sinica, Chinese Series, 2019, 62(6): 939-948.

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