Stability inL 1 of some integral operators |
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| Authors: | Ryszard Rudnicki |
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| Affiliation: | (1) Institute of Mathematics, Polish Academy of Sciences, Staromiejska 8/6, 40-013 Katowice, Poland;(2) Institute of Mathematics, Silesian University, Bankowa 14, 40-007 Katowice, Poland |
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| Abstract: | A class of Markov operators appearing in biomathematics is investigated. It is proved that these operators are asymptotic stable inL1, i.e. limn  Pn f=0 forf L1 and  f(x) dx=0. |
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| Keywords: | Primary: 47B38 47B65 47G10 secondary: 60J05 92D25 |
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