Ratio and Stochastic Ergodic Theorems for Superadditive Processes
1979 ◽
Vol 31
(2)
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pp. 441-447
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1. Introduction. Let (X, , m) be a σ-finite measure space and let T be a positive linear operator on L1 = L1(X, , m). T is called Markovian if(1.1)T is called sub-Markovian if(1.2)All sets and functions are assumed measurable; all relations and statements are assumed to hold modulo sets of measure zero.For a sequence of L1+ functions (ƒ0, ƒ1, ƒ2, …), let(ƒn) is called a super additive sequence or process, and (sn) a super additive sum relative to a positive linear operator T on L1 if(1.3)and(1.4)
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1981 ◽
Vol 24
(2)
◽
pp. 199-203
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Keyword(s):
1974 ◽
Vol 26
(5)
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pp. 1206-1216
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1977 ◽
Vol 24
(2)
◽
pp. 129-138
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1980 ◽
Vol 23
(1)
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pp. 115-116
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1965 ◽
Vol 61
(2)
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pp. 497-498
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1983 ◽
Vol 27
(3)
◽
pp. 407-418
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