Weyl's theorem holds for algebraically hyponormal operators

被引：30

作者：

Han, YM ^{[1
]}

Lee, WY ^{[1
]}

机构：

[1] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 128卷 / 08期

关键词：

Weyl's theorem; algebraically hyponormal operators; unilateral weighted shifts;

D O I：

10.1090/S0002-9939-00-05741-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note it is shown that if T is an "algebraically hyponormal" operator, i.e., p(T) is hyponormal for some nonconstant complex polynomial p, then for every f is an element of H(sigma(T)), Weyl's theorem holds for f(T), where H(sigma(T)) denotes the set of analytic functions on an open neighborhood of sigma(T).

引用

页码：2291 / 2296

页数：6

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