一致Fredholm算子及Weyl型定理

J4 ›› 2011, Vol. 46 ›› Issue (1): 87-91.

一致Fredholm算子及Weyl型定理

王济荣¹,曹小红²,刘俊英²

1.山西运城学院应用数学系，山西运城 044000； 2.陕西师范大学数学与信息科学学院，陕西西安 710062

收稿日期:2010-03-10 出版日期:2011-12-14 发布日期:2011-03-16
作者简介:王济荣（1959-）,男，副教授，研究方向为算子理论及算子代数. Email: sxwjr0359@163.com
基金资助:
陕西师范大学中央高校基本科研业务费专项资金资助项目（GK200901015）;教育部2006年新世纪优秀人才支持计划资助项目，山西省重点学科扶持基金资助项目

Operators with consistency in Fredholm and Weyl′s theorem

WANG Ji-rong1, CAO Xiao-hong2, LIU Jun-ying2

1. Department of Mathematics, Yuncheng University, Yuncheng 044000, Shanxi, China;
2. College of Mathematics and Information Science, Shaanxi Normal University, Xi′an 710062, Shaanxi, China

Received:2010-03-10 Online:2011-12-14 Published:2011-03-16

摘要/Abstract

摘要：

通过定义新的谱集σ1( · ),给出了有界线性算子满足Browder定理和Weyl定理的充要条件, 同时研究了Weyl型定理之间的关系。

关键词: 一致Fredholm算子; Browder定理; Weyl定理; 谱

Abstract:

A bounded linear operator defined on a Hilbert space a sufficient and necessary condition is established for which Browder’s theorem and Weyl’s theorem hold by means of the new spectrum σ1( · ). Meanwhile, the relations of Weyl type theorem are studied.

Key words: operators with consistency in Fredholm; Browder’s theorem; Weyl’s theorem; spectrum

王济荣1,曹小红2,刘俊英2. 一致Fredholm算子及Weyl型定理[J]. J4, 2011, 46(1): 87-91.

WANG Ji-rong1, CAO Xiao-hong2, LIU Jun-ying2. Operators with consistency in Fredholm and Weyl′s theorem[J]. J4, 2011, 46(1): 87-91.

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