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On ergodic theorem for a Banach valued random sequence

Published online by Cambridge University Press:  09 April 2009

Zoran R. Pop-Stojanovic
Zoran R. Pop-Stojanovic
Affiliation:
University of Florida, Gainesville,
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In this paper we shall deal with a probability space (S, Σ, P), a separable Banach space X having its strong dual X* and a strictly stationary random sequence defined as in [7], where are X-valued, Gelfand-Pettis (weakly) integrable [6], [9], and strongly measurable random variables. In the case when Yk's are Bochner (strongly) integrable random variables one can find the ergodic theorem for such a sequence and, with respect to strong convergence in X, in the papers [7], [8].

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 13 , Issue 4 , June 1972 , pp. 501 - 507
Copyright
Copyright © Australian Mathematical Society 1972

References

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