A NEW PERTURBATION THEOREM FOR MOORE-PENROSE METRIC GENERALIZED INVERSE OF BOUNDED LINEAR

A NEW PERTURBATION THEOREM FOR MOORE-PENROSE METRIC GENERALIZED INVERSE OF BOUNDED LINEAR OPERATORS IN BANACH

SPACES

Zi WANG;Yuwen WANG

【期刊名称】《数学物理学报（英文版）》 【年(卷),期】2017(037)006

【摘要】In this paper,we investigate a new perturbation theorem for the Moore-Penrose metric generalized inverses of a bounded linear operator in Banach space.The main tool in this paper is \Neumann lemma\which is quite different from the method in [12] where \perturbation analysis of bounded linear operators,we obtain an explicit perturbation theorem and three inequalities about error estimates for the Moore-Penrose metric generalized inverse of bounded linear operator under the generalized Neumann lemma and the concept of stable perturbations in Banach spaces. 【总页数】13页(1619-1631) 【关键词】

【作者】Zi WANG;Yuwen WANG

【作者单位】Yuan-Yung Tseng Functional Analysis Research Center, School of Mathematics Science, Harbin Normal University, Harbin

150025, China;Yuan-Yung Tseng Functional Analysis Research Center, School of Mathematics Science, Harbin Normal University, Harbin 150025, China 【正文语种】英文 【中图分类】 【相关文献】

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