Mean convergence theorem for multidimensional arrays of random elements in Banach spaces

Le Van Thanh

International Journal of Stochastic Analysis, 2006, vol. 2006, 1-6

Abstract:

For a d -dimensional array of random elements { V n , n ∈ ℤ + d } in a real separable stable type p ( 1 ≤ p < 2 ) Banach space, a mean convergence theorem is established. Moreover, the conditions for the convergence in mean of order p are shown to completely characterize stable-type p Banach spaces.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:068605

DOI: 10.1155/JAMSA/2006/68605

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