Criteria for the single-valued metric generalized inverses of multi-valued linear operators in banach spaces |
| |
| Authors: | Yu Wen Wang Jian Zhang Yun An Cui |
| |
| Institution: | (1) Y. Y. Tseng Functional Analysis Research Center and School of Mathematical Sciences, Harbin Normal University, Harbin, 150025, P. R. China;(2) Department of Applied Mathematics, Harbin University of Science and Technology, Harbin, 150080, P. R. China |
| |
| Abstract: | Let X, Y be Banach spaces and M be a linear subspace in X × Y = {{x, y}|x ∈ X, y ∈ Y}. We may view M as a multi-valued linear operator from X to Y by taking M(x) = {y|{x, y} ∈ M}. In this paper, we give several criteria for a single-valued operator from Y to X to be the metric generalized inverse of the multi-valued linear operator M. The principal tool in this paper is also the generalized orthogonal decomposition theorem in Banach spaces. |
| |
| Keywords: | Banach space multi-valued linear operator metric generalized inverse criteria |
| 本文献已被 CNKI 维普 SpringerLink 等数据库收录！ |
|
