A NOTE ON WEYL-TYPE THEOREMS AND RESTRICTIONS

被引：2

作者：

Chen, Lihong ^{[1
]}

Su, Weigang ^{[1
]}

机构：

[1] Fujian Normal Univ, Sch Math & Comp Sci, Fuzhou 350117, Peoples R China

来源：

ANNALS OF FUNCTIONAL ANALYSIS | 2017年 / 8卷 / 02期

关键词：

restriction; Weyl-type theorems; semi-Fredholm; pole of the resolvent; OPERATORS;

D O I：

10.1215/20088752-3784361

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X be a Banach space, let T is an element of L(X) be a bounded linear operator, and let T-n be a restriction of T on R(T-n). This article should be viewed as a note on the research work of Carpintero et al. We give here several different proofs for completeness, and we show the relations of T and T-n to a much greater extent. Moreover, we give sufficient conditions for which Weyl-type theorems for T are equivalent to Weyl-type theorems for T-n.

引用

页码：190 / 198

页数：9

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