Accumulation of complex eigenvalues of a class of analytic operator functions

Engström, Christian; Torshage, Johan Axel (2018). Accumulation of complex eigenvalues of a class of analytic operator functions. Journal of functional analysis, 275(2), pp. 442-477. Elsevier 10.1016/j.jfa.2018.03.019

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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.

Item Type:

Journal Article (Original Article)

Division/Institute:

08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics

UniBE Contributor:

Torshage, Johan Axel

Subjects:

500 Science > 510 Mathematics

ISSN:

0022-1236

Publisher:

Elsevier

Language:

English

Submitter:

Olivier Bernard Mila

Date Deposited:

15 May 2019 18:04

Last Modified:

22 Oct 2019 18:14

Publisher DOI:

10.1016/j.jfa.2018.03.019

BORIS DOI:

10.7892/boris.125536

URI:

https://boris.unibe.ch/id/eprint/125536

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