Analytically class A operators and Weyl's theorem

被引：12

作者：

Cao, Xiaohong ^{[1
]}

机构：

[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 320卷 / 02期

关键词：

Weyl's theorem; Browder's theorem; spectrum;

D O I：

10.1016/j.jmaa.2005.07.056

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the new spectrum set defined in this note, we give the necessary and sufficient condition for T which the Weyl's theorem holds. We also consider how the Weyl's theorem survives for analytically Class A operators. (C) 2005 Elsevier Inc. All rights reserved.

引用

页码：795 / 803

页数：9

共 21 条

[1]

BERBERIAN SK, 1969, MICH MATH J, V16, P273

[2] WEYL SPECTRUM OF AN OPERATOR [J].

BERBERIAN, SK .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1970, 20 (06) :529-+

[3]

CHOURASIA NN, 1980, B AUSTR MATH SOC, V21, P161

[4]

COBURN LA, 1966, MICH MATH J, V13, P285

[5] Polaroid operators and Weyl's theorem [J].

Duggal, B ;

Harte, R ;

Jeon, IH .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 132 (05) :1345-1349

[6] SINGLE VALUED EXTENSION PROPERTY ON A BANACH-SPACE [J].

FINCH, JK .

PACIFIC JOURNAL OF MATHEMATICS, 1975, 58 (01) :61-69

[7]

Furuta T., 1998, Sci. Math, V1, P389

[8] A note on a-Weyl's theorem [J].

Han, YM ;

Djordjevic, SV .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 260 (01) :200-213

[9] Another note on Weyl's theorem [J].

Harte, R ;

Lee, WY .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 349 (05) :2115-2124

[10]

HARTE R, 1985, P ROY IRISH ACAD A, V85, P151

← 1 2 3 →