Ergodic theorems for subadditive superstationary families of random sets with values in Banach spaces

• Autorzy: G. Krupa
• Języki publikacji: EN

Abstrakty

EN

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].

Słowa kluczowe

EN

multivalued ergodic theorems; measurable multifunctions; random sets; subadditive superstationary processes; set convergence

Kategorie tematyczne

• 47A35: Ergodic theory
• 26B20: Integral formulas (Stokes, Gauss, Green, etc.)
• 28D99: None of the above, but in this section
• 26E25: Set-valued functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1998
• Tom: 131
• Numer: 3
• Strony: 289-302

Daty

wydano

1998

otrzymano

1997-10-13

Twórcy

autor

G. Krupa

• Mathematical Institute, University of Utrecht, P.O. Box 80.010, 3508 TA Utrecht, The Netherlands,

Bibliografia

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