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Accumulation of com...
Accumulation of complex eigenvalues of a class of analytic operator functions
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- Engström, Christian (author)
- Umeå universitet,Institutionen för matematik och matematisk statistik,Umeå university, Sweden
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- Torshage, Axel, 1991- (author)
- Umeå universitet,Institutionen för matematik och matematisk statistik,Umeå university, Sweden
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(creator_code:org_t)
- Elsevier BV, 2018
- 2018
- English.
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In: Journal of Functional Analysis. - : Elsevier BV. - 0022-1236 .- 1096-0783. ; 275:2, s. 442-477
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Abstract
Subject headings
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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.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- Mathematics
- matematik
Publication and Content Type
- ref (subject category)
- art (subject category)
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