On eigenvalues for certain classes of positive operators

Spectral gaps are estimated for some classes of positive operators with a group of leading eigenvalues. Such an analysis is based on passing to associated operators and using the notion of a focusing operator. We show how to weaken the requirements on the class of operators under study, which arises...

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Bibliographic Details
Published in:Mathematical Notes 2009-02, Vol.85 (1-2), p.198-208
Main Author: Makin, R. S.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary:Spectral gaps are estimated for some classes of positive operators with a group of leading eigenvalues. Such an analysis is based on passing to associated operators and using the notion of a focusing operator. We show how to weaken the requirements on the class of operators under study, which arises, in particular, in transport theory.
ISSN:0001-4346
1573-8876
DOI:10.1134/S0001434609010234