On the “zero-two” law for positive contractions

DOI10.1017/S0013091500004624zbMath0663.47028MaRDI QIDQ3812821

Radu Zaharopol

Publication date: 1989

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Banach latticeslinear modulus of regular operatorspositive contractions of \(L^ 1\)- spacespositive operators in \(L^ p\)-spaceszero-two law in \(L^ p\) spaces

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) Banach lattices (46B42) Linear operators on ordered spaces (47B60) Zero-one laws (60F20)

Related Items (4)

An extension of the zero-two law on \(L_p\)-spaces ⋮ On dominant contractions and a generalization of the zero-two law ⋮ On a generalized uniform zero-two law for positive contractions of noncommutative \(L_1\)-spaces and its vector-valued extension ⋮ Unnamed Item

Cites Work

• Unnamed Item
• The modulus of a regular linear operator and the zero-two law in \(L^ p\)-spaces \((1<p<+\infty,p\neq 2)\)
• More on the "Zero-Two" Law
• An Operator Theorem on $L_1$ Convergence to Zero with Applications to Markov Kernels

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