Weak convergence of positive contractions implies strong convergence of averages

DOI10.1007/BF00533095zbMath0297.47006MaRDI QIDQ4051140

Louis Sucheston, Mustafa A. Akcoglu

Publication date: 1975

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Measure-preserving transformations (28D05) Ergodic theory of linear operators (47A35)

Related Items (8)

Smoothness, asymptotic smoothness and the Blum-Hanson property ⋮ Unnamed Item ⋮ Quasisimilarity of power bounded operators and Blum-Hanson property ⋮ On weak and strong convergence of positive contractions in 𝐿_{𝑝} spaces ⋮ The Blum-Hanson property ⋮ Modes of convergence of Markov chain transition probabilities ⋮ Mixing Sequences in Hilbert Spaces ⋮ The convergence of matrix transforms for certain Markov chains

Cites Work

• On convergence of iterates of positive contractions in L\(_p\) spaces
• On operator convergence in Hilbert space and in Lebesgue space
• A Pointwise Ergodic Theorem in L_p-Spaces
• On a mixing property of operators in Lp spaces

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