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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A Markov process which gives rise to a semigroup of expansive operators


Author: T. F. Lin
Journal: Proc. Amer. Math. Soc. 54 (1976), 337-341
MSC: Primary 60J35
DOI: https://doi.org/10.1090/S0002-9939-1976-0410951-6
MathSciNet review: 0410951
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Abstract: Conditional expectation in a finite complex measure space $ (M,\mathcal{B},Q)$ with $ Q(M) = 1$ is studied. A Markov process which gives rise to a semigroup of expansive operators is constructed.


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DOI: https://doi.org/10.1090/S0002-9939-1976-0410951-6
Keywords: Conditional expectation, $ \mathcal{K}$-null set, Markov process, semigroup of operators
Article copyright: © Copyright 1976 American Mathematical Society