Weyl's theorem for class A operators

被引：0

作者：

Uchiyama, A ^{[1
]}

机构：

[1] Tohoku Univ, Inst Math, Sendai, Miyagi 9808578, Japan

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2001年 / 4卷 / 01期

关键词：

class A operators; w-hyponormal operators; continuity of spectra; Weyl's theorem;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we show that Weyl's theorem holds for class A operators under a certain condition. We also show that a class A operator whose Weyl spectrum equals to the one-point set {0} is always compact and normal.

引用

页码：143 / 150

页数：8

共 10 条

[1]

Aluthge A, 1999, MATH INEQUAL APPL, V2, P113

[2]

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

[3] Weyl's theorem holds for p-hyponormal operators [J].

Cho, M ;

Itoh, M ;

Oshiro, S .

GLASGOW MATHEMATICAL JOURNAL, 1997, 39 :217-220

[4]

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

[5]

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

[6] OPERATOR-INEQUALITY [J].

HANSEN, F .

MATHEMATISCHE ANNALEN, 1980, 246 (03) :249-250

[7] HYPONORMAL OPERATORS [J].

STAMPFLI, JG .

PACIFIC JOURNAL OF MATHEMATICS, 1962, 12 (04) :1453-&

[8] Inequalities of Putnam and Berger-Shaw for p-quasihyponormal operators [J].

Uchiyama, A .

INTEGRAL EQUATIONS AND OPERATOR THEORY, 1999, 34 (01) :91-106

[9] Berger-Shaw's theorem for p-hyponormal operators [J].

Uchiyama, A .

INTEGRAL EQUATIONS AND OPERATOR THEORY, 1999, 33 (02) :221-230

[10]

XIA DX, 1980, SCI SINICA, V23, P700

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