Journal of Applied Mathematics and Stochastic Analysis
Volume 2006 (2006), Article ID 68605, 6 pages
doi:10.1155/JAMSA/2006/68605
Abstract
For a d-dimensional array of random elements {Vn,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.