SEMI-FREDHOLM THEORY ON HILBERT C*-MODULES

被引：10

作者：

Ivkovic, Stefan ^{[1
]}

机构：

[1] Serbian Acad Arts & Sci, Math Inst, Kneza Mihaila 36, Belgrade 11000, Serbia

来源：

BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2019年 / 13卷 / 04期

关键词：

Hilbert C*-module; semi-A-Fredholm operator; Calkin algebra; OPERATORS;

D O I：

10.1215/17358787-2019-0022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the semi-Fredholm theory on Hilbert C*-modules as a continuation of Fredholm theory on Hilbert C*-modules established by Mishchenko and Fomenko. We give a definition of a semi-Fredholm operator on Hilbert C*-module, and we prove that these semi-Fredholm operators are those that are one-sided invertible modulo compact operators, that the set of proper semi-Fredholm operators is open, and many other results that generalize their classical counterparts.

引用

页码：989 / 1016

页数：28

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