The modulus of a regular linear operator and the zero-two law in \(L^ p\)-spaces \((1

DOI10.1016/0022-1236(86)90100-XzbMath0613.47038MaRDI QIDQ1819347

Radu Zaharopol

Publication date: 1986

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

zero-two lawpositive contractionsapproximate point spectrum of positive contractionslinear modulusreal Banach lattices

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Spectrum, resolvent (47A10) Linear operators on function spaces (general) (47B38) Linear operators on ordered spaces (47B60) Transition functions, generators and resolvents (60J35)

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On power bounded operators, Some developments around the Katznelson–Tzafriri theorem, Ein starkes ``Null-Zwei-Gesetz in \(L^ p\). (A strong ``zero-two law in \(L^ p)\), Analogues of the ``zero-two`` law for positive linear contractions in L p and C(X), The zero-two law for positive contractions is valid in all Banach lattices, The zero-two law in Banach lattice algebras, An extension of the zero-two law on \(L_p\)-spaces, The ``zero-two law in Orlicz-Kantorovich spaces, Optimal rates of decay in the Katznelson-Tzafriri theorem for operators on Hilbert spaces, A remark on the uniform zero-two law for positive contractions, On dominant contractions and a generalization of the zero-two law, On the “zero-two” law for positive contractions, Tail field representations and 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, Uniform monotonicity of norms and the strong ``zero-two law

Cites Work

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• Harris operators
• On the zero-two law
• More on the "Zero-Two" Law
• An Operator Theorem on $L_1$ Convergence to Zero with Applications to Markov Kernels