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Accumulation of complex eigenvalues of a class of analytic operator functions
Umeå university, Sweden.
Umeå university, Sweden.
2018 (English)In: Journal of Functional Analysis, ISSN 0022-1236, E-ISSN 1096-0783, Vol. 275, no 2, p. 442-477Article in journal (Refereed) Published
Abstract [en]

For analytic operator functions, we prove accumulation of branches of complex eigenvalues to the essential spectrum. Moreover, we show minimality and completeness of the corresponding system of eigenvectors and associated vectors. These results are used to prove sufficient conditions for eigenvalue accumulation to the poles and to infinity of rational operator functions. Finally, an application of electromagnetic field theory is given.

Place, publisher, year, edition, pages
Elsevier, 2018. Vol. 275, no 2, p. 442-477
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-81942DOI: 10.1016/j.jfa.2018.03.019ISI: 000434877800008Scopus ID: 2-s2.0-85045081595OAI: oai:DiVA.org:lnu-81942DiVA, id: diva2:1304767
Funder
Swedish Research Council, 621-2012-3863Available from: 2019-04-13 Created: 2019-04-13 Last updated: 2019-05-07Bibliographically approved

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Engström, ChristianTorshage, Axel

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