Properties of Linear Relations in Banach Spaces

被引：2

作者：

Ren, Guojing ^{[1
]}

Agarwal, Ravi P. ^{[2
]}

机构：

[1] Shandong Univ Finance & Econ, Sch Math & Quantitat Econ, Jinan 250014, Shandong, Peoples R China

[2] Texas A&M Univ Kingsville, Dept Math, Kingsville, TX 78363 USA

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2019年 / 13卷 / 04期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Linear relation; Perturbation; Closedness; Compactness; Fredholm;

D O I：

10.1007/s11785-018-0876-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with properties and stability of linear relations, including closed, compact, and Fredholm linear relations. Stability of closedness and compactness of linear relations under relatively bounded perturbations and relatively compact perturbations is studied. In particular, results on the stability of index of Fredholm linear relation and its iterates are discussed. The results obtained in the present paper generalize the corresponding results for single-valued linear operators to multi-valued linear operators, and some improve or relax certain assumptions of the related existing results.

引用

页码：1917 / 1930

页数：14

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