Tail field representations and the zero-two law

DOI10.1007/BF02784130zbMath0982.47011MaRDI QIDQ5939285

J. R. Baxter, Mustafa A. Akcoglu

Publication date: 8 April 2002

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

zbMATH Keywords

dilation\(L_p\)-isometryasymptotic circle and line casesexact circle and line casesnonsingular point transformationpositive linear contractionsRohlin towerstail field representationszero-two law

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) Dilations, extensions, compressions of linear operators (47A20) Zero-one laws (60F20)

Related Items (2)

An extension of the zero-two law on \(L_p\)-spaces ⋮ Unnamed Item

Cites Work

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• Positive contractions of \(L_1\)-spaces
• Construction of dilations of positive \(L_p\) contractions
• Uniform monotonicity of norms and the strong ``zero-two law
• The modulus of a regular linear operator and the zero-two law in \(L^ p\)-spaces \((1<p<+\infty,p\neq 2)\)
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• A Pointwise Ergodic Theorem in L_p-Spaces
• More on the "Zero-Two" Law
• Dilations of Positive Contractions on L_p Spaces^*
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• An Operator Theorem on $L_1$ Convergence to Zero with Applications to Markov Kernels

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