Weyl's theorem and tensor products: A counterexample

被引：7

作者：

Kitson, Derek ^{[1
]}

Harte, Robin ^{[1
]}

Hernandez, Carlos ^{[2
]}

机构：

[1] Trinity Coll Dublin, Sch Math, Dublin, Ireland

[2] Univ Nacl Autonoma Mexico, Inst Matemat, Mexico City 04510, DF, Mexico

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 378卷 / 01期

关键词：

Weyl's theorem; Browder's theorem; Tensor product; Shifts; Spectral picture; Limacon; MULTIPLICATION OPERATORS;

D O I：

10.1016/j.jmaa.2010.12.051

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Approximately fifty percent of Weyl's theorem fails to transfer from Hilbert space operators to their tensor product. As a biproduct we find that the product of circles in the complex plane is a limacon. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：128 / 132

页数：5

共 6 条

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