Analogues of the ``zero-two`` law for positive linear contractions in L p and C(X)

DOI10.1007/BF02779664zbMath0654.46034WikidataQ114852588 ScholiaQ114852588MaRDI QIDQ1108546

Rainer Wittmann

Publication date: 1987

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

nonexpansive mappingpositive operatorzero-two lawpositive linear contraction

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) Linear operators on function spaces (general) (47B38) Linear operators on ordered spaces (47B60) (L^p)-limit theorems (60F25)

Related Items (5)

Schwach irreduzible Markoff-Operatoren. (Weakly irreducible Markov operators) ⋮ An extension of the zero-two law on \(L_p\)-spaces ⋮ A remark on the uniform zero-two law for positive contractions ⋮ Tail field representations and the zero-two law ⋮ Unnamed Item

Cites Work

• Unnamed Item
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• Ergodic theorems. With a supplement by Antoine Brunel
• On power bounded operators
• The modulus of a regular linear operator and the zero-two law in \(L^ p\)-spaces \((1<p<+\infty,p\neq 2)\)
• La loi zéro ou deux et ses consequences pour le comportement asymptotique des opérateurs positifs
• An ergodic theorem for Markov chains
• On the ?zero-two? law for conservative Markov processes
• More on the "Zero-Two" Law
• An Operator Theorem on $L_1$ Convergence to Zero with Applications to Markov Kernels

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