Multiparameter superadditive ergodic theorems for mean ergodic L(1)-contractions

• Autorzy: Çömez D. , Lin M.
• Języki publikacji: EN

Abstrakty

EN

Let T and S be commuting Markovian operators on L₁(X). We prove that when the operators are mean ergodic and {F_(m,n)} is a directionally (T, S)-superadditive dominated process, then the “averages” n⁻² F_(n,n) converge in L₁-norm. If, further, the process is strongly superadditive, then the same averages converge a.e. as well.

Słowa kluczowe

EN

superadditive processes; Markovian operators; mean ergodic L1-contractions

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 2003
• Tom: Vol. 23, Fasc. 1
• Strony: 173--187
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Çömez D.

• Department of Mathematics, North Dakota State University, Fargo, ND 58105, USA

autor

Lin M.

• Department of Mathematics, Ben-Gurion University of the Negev, Beer Sheva, Israel

Bibliografia

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