Continuous Selections of the Set-Valued Metric Generalized Inverse in 2-Strictly Convex Banach Spaces

被引：0
|
作者：
Shang, Shaoqiang [1 ]
机构：
[1] Harbin Engn Univ, Coll Math Sci, Harbin 150001, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2022年 / 42卷 / 03期
关键词：
Continuous selection; 3-Chebyshev hyperplane; set-valued metric generalized inverses; 2-strictly convex space; LINEAR-OPERATORS;
D O I：
10.1007/s10473-022-0324-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove that if X is an almost convex and 2-strictly convex space, linear operator T:X -> Y is bounded, N(T) is an approximative compact Chebyshev subspace of X and R(T) is a 3-Chebyshev hyperplane, then there exists a homogeneous selection T-sigma of T- partial differential such that continuous points of T-sigma and T- partial differential are dense on Y.
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页码：1225 / 1237
页数：13
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