The Experts below are selected from a list of 6 Experts worldwide ranked by ideXlab platform
Gai Gong-qi - One of the best experts on this subject based on the ideXlab platform.
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On some properties of quasi-linear operator
Journal of Natural Science of Heilongjiang University, 2007Co-Authors: Gai Gong-qiAbstract:The definition of quasi-linearity operators is first given,and then the relations of homogeneity,the quasi-additivity and idempotence of operators are discussed.In certain condition it has proven equivalence between the quasi-linearity and quasi-additivity of operators,and has proven that the range of the quasi-linear operators is closed.Continuity of the quasi-linear operators is obtained in its range,and a generalized Banach Lemma for the bounded Quasi-linear operator in Banach space is given.
Yuwen Wang - One of the best experts on this subject based on the ideXlab platform.
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A NEW PERTURBATION THEOREM FOR MOORE-PENROSE METRIC GENERALIZED INVERSE OF BOUNDED LINEAR OPERATORS IN Banach SPACES
Acta Mathematica Scientia, 2017Co-Authors: Zi Wang, Yuwen WangAbstract:Abstract 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.
Zi Wang - One of the best experts on this subject based on the ideXlab platform.
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A NEW PERTURBATION THEOREM FOR MOORE-PENROSE METRIC GENERALIZED INVERSE OF BOUNDED LINEAR OPERATORS IN Banach SPACES
Acta Mathematica Scientia, 2017Co-Authors: Zi Wang, Yuwen WangAbstract:Abstract 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.