Title of article
Ergodic theory and the Strong Law of Large Numbers on Riesz spaces
Author/Authors
Wen-Chi Kuo، نويسنده , , Coenraad C.A. Labuschagne ، نويسنده , , Bruce A. Watson، نويسنده , , 1، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2007
Pages
16
From page
422
To page
437
Abstract
In [W.-C. Kuo, C.C.A. Labuschagne, B.A. Watson, Discrete-time stochastic processes on Riesz spaces,
Indag. Math. (N.S.) 15 (3) (2004) 435–451], we introduced the concepts of conditional expectations, martingales
and stopping times on Riesz spaces. Here we formulate and prove order theoretic analogues of the
Birkhoff, Hopf andWiener ergodic theorems and the Strong Law of Large Numbers on Riesz spaces (vector
lattices).
© 2006 Elsevier Inc. All rights reserved.
Keywords
Conditional expectation , Riesz space , Zero–one , Ergodic , law of large numbers
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2007
Journal title
Journal of Mathematical Analysis and Applications
Record number
935121
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