Ergodic theorems for subadditive superstationary families of random sets with values in Banach spaces
Studia Mathematica, Tome 131 (1998) no. 3, pp. 289-302
Under different compactness assumptions pointwise and mean ergodic theorems for subadditive superstationary families of random sets whose values are weakly (or strongly) compact convex subsets of a separable Banach space are presented. The results generalize those of [14], where random sets in $ℝ^d$ are considered. Techniques used here are inspired by [3].
Keywords:
multivalued ergodic theorems, measurable multifunctions, random sets, subadditive superstationary processes, set convergence
@article{10_4064_sm_131_3_289_302,
author = {G. Krupa},
title = {Ergodic theorems for subadditive superstationary families of random sets with values in {Banach} spaces},
journal = {Studia Mathematica},
pages = {289--302},
year = {1998},
volume = {131},
number = {3},
doi = {10.4064/sm-131-3-289-302},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-131-3-289-302/}
}
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%0 Journal Article %A G. Krupa %T Ergodic theorems for subadditive superstationary families of random sets with values in Banach spaces %J Studia Mathematica %D 1998 %P 289-302 %V 131 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4064/sm-131-3-289-302/ %R 10.4064/sm-131-3-289-302 %G en %F 10_4064_sm_131_3_289_302
G. Krupa. Ergodic theorems for subadditive superstationary families of random sets with values in Banach spaces. Studia Mathematica, Tome 131 (1998) no. 3, pp. 289-302. doi: 10.4064/sm-131-3-289-302
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