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On Eigenvalues for Some Classes of Positive Operators
R. S. Makin Ulyanovsk State Technical University
Abstract:
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.
Keywords:
positive linear operator, totally positive operator, focusing operator, sign-regular operator, spectral gap, eigenvalue problem.
Received: 20.12.2006
Citation:
R. S. Makin, “On Eigenvalues for Some Classes of Positive Operators”, Mat. Zametki, 85:2 (2009), 214–226; Math. Notes, 85:2 (2009), 198–208
Linking options:
https://www.mathnet.ru/eng/mzm3940https://doi.org/10.4213/mzm3940 https://www.mathnet.ru/eng/mzm/v85/i2/p214
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Abstract page: | 459 | Full-text PDF : | 208 | References: | 68 | First page: | 23 |
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