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

作者：Wang, Zi^*; Wang, Yuwen

来源：Acta Mathematica Scientia, 2017, 37(6): 1619-1631.

DOI：10.1016/S0252-9602(17)30095-4

• Banach space
• bounded linear operator
• metric projection
• generalized inverse
• perturbation analysis
• Moore-Penrose
• quasi-additive

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 "the generalized Neumann lemma" which is quite different from the method in [12] where "the generalized Banach lemma" was used. By the method of the 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.

• 出版日期2017-11
• 单位哈尔滨师范大学