Ergodic Theorems for L1-L∞ Contractions in Banach–Kantorovich Lp-lattices

DOI10.1007/978-3-319-27842-1_8zbMath1411.47003arXiv1306.3827OpenAlexW2523072134MaRDI QIDQ4645859

Vladimir I. Chilin, I. G. Ganiyev

Publication date: 11 January 2019

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.3827

zbMATH Keywords

ergodic theoremBanach-Kantorovich latticemeasurable Banach bundle\(L_1\)-\(L_\infty\) contractiondisjunctive decomposable vector-valued measure

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) Ergodic theory of linear operators (47A35) Banach lattices (46B42)

Related Items (1)

The ``zero-two law in Orlicz-Kantorovich spaces

Cites Work

• Noncommutative integration for traces with values in Kantorovich-Pinsker spaces
• Ergodic theorems. With a supplement by Antoine Brunel
• Individual ergodic theorem for compressions in the Banach-Kantorovich lattice \(L_p (\widehat{\nabla}, \widehat{\mu})\)
• Weak compactness criteria in symmetric spaces of measurable operators
• A Pointwise Ergodic Theorem in L_p-Spaces
• Multiparameter Weighted Ergodic Theorems
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