Weyl's theorem and tensor products: A counterexample

Derek Kitson; Robin Harte; Carlos Hernández

doi:10.1016/j.jmaa.2010.12.051

Weyl's theorem and tensor products: A counterexample

Derek Kitson, Robin Harte, Carlos Hernández

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

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 limaçon.

Original language	English
Pages (from-to)	128-132
Number of pages	5
Journal	Journal of Mathematical Analysis and Applications
Volume	378
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2010.12.051
State	Published - 1 Jun 2011
Externally published	Yes

Keywords

Browder's theorem
Limaçon
Shifts
Spectral picture
Tensor product
Weyl's theorem

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10.1016/j.jmaa.2010.12.051

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title = "Weyl's theorem and tensor products: A counterexample",

abstract = "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 lima{\c c}on.",

keywords = "Browder's theorem, Lima{\c c}on, Shifts, Spectral picture, Tensor product, Weyl's theorem",

author = "Derek Kitson and Robin Harte and Carlos Hern{\'a}ndez",

year = "2011",

month = jun,

day = "1",

doi = "10.1016/j.jmaa.2010.12.051",

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T2 - A counterexample

AU - Kitson, Derek

AU - Harte, Robin

AU - Hernández, Carlos

PY - 2011/6/1

Y1 - 2011/6/1

N2 - 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 limaçon.

AB - 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 limaçon.

KW - Browder's theorem

KW - Limaçon

KW - Shifts

KW - Spectral picture

KW - Tensor product

KW - Weyl's theorem

UR - http://www.scopus.com/inward/record.url?scp=79551683284&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2010.12.051

DO - 10.1016/j.jmaa.2010.12.051

M3 - Artículo

AN - SCOPUS:79551683284

SN - 0022-247X

VL - 378

SP - 128

EP - 132

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Weyl's theorem and tensor products: A counterexample

Abstract

Keywords

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