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Wielandt's theorem, spectral sets, and Banach algebras
Department of Mathematics and Statistics, University of Guelph, Guelph ON, Canada.
Department of Mathematics and Statistics, University of Guelph, Guelph ON, Canada.ORCID iD: 0000-0003-2437-1300
2013 (English)In: Linear Algebra and its Applications, ISSN 0024-3795, E-ISSN 1873-1856, Vol. 439, no 4, p. 852-855Article in journal (Refereed) Published
Abstract [en]

Let A be a complex unital Banach algebra and let a,b∈A. We give regions of the complex plane which contain the spectrum of a+b or ab using von Neumann spectral set theory. These results are a direct generalization of a theorem of Wielandt on the eigenvalues of the sum of two normal matrices.

Place, publisher, year, edition, pages
Elsevier, 2013. Vol. 439, no 4, p. 852-855
Keywords [en]
Banach algebras, Spectral sets, Spectral inclusion regions, Normal matrices, Von Neumann operators
National Category
Mathematics
Identifiers
URN: urn:nbn:se:oru:diva-65205DOI: 10.1016/j.laa.2012.06.019ISI: 000321084700007Scopus ID: 2-s2.0-84879881534OAI: oai:DiVA.org:oru-65205DiVA, id: diva2:1185419
Note

Funding Agency:

National Science and Engineering Research Council of Canada

Available from: 2018-02-24 Created: 2018-02-24 Last updated: 2018-05-29Bibliographically approved

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Rush, Stephen

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