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Stability inL 1 of some integral operators

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Abstract

A class of Markov operators appearing in biomathematics is investigated. It is proved that these operators are asymptotic stable inL 1, i.e. lim n ‖P n f‖=0 forf∈L 1 and ∫f(x) dx=0.

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Authors and Affiliations

  1. Institute of Mathematics, Polish Academy of Sciences, Staromiejska 8/6, 40-013, Katowice, Poland

    Ryszard Rudnicki

  2. Institute of Mathematics, Silesian University, Bankowa 14, 40-007, Katowice, Poland

    Ryszard Rudnicki

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  1. Ryszard Rudnicki
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Rudnicki, R. Stability inL 1 of some integral operators. Integr equ oper theory 24, 320–327 (1996). https://doi.org/10.1007/BF01204604

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  • DOI: https://doi.org/10.1007/BF01204604

MSC 1991

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