Subordinated discrete semigroups of operators

DOI10.1090/S0002-9947-2010-05094-9zbMath1228.47012arXiv0801.4557OpenAlexW1973816179MaRDI QIDQ2997213

Nick Dungey

Publication date: 6 May 2011

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.4557

zbMATH Keywords

fractional powerssubordinationanalytic semigrouppower bounded operatorsRitt operatorsdiscrete semigroupRitt probabilities

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) One-parameter semigroups and linear evolution equations (47D06) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Functional calculus for linear operators (47A60)

Related Items (22)

Random walks on groups and discrete subordination ⋮ Some developments around the Katznelson–Tzafriri theorem ⋮ On ergodic operator means in Banach spaces ⋮ Remarks on rates of convergence of powers of contractions ⋮ On orbits of functions of the Volterra operator ⋮ New estimates on the Brunel operator ⋮ Limit theorems for Markov chains by the symmetrization method ⋮ Isometric dilations and 𝐻^{∞} calculus for bounded analytic semigroups and Ritt operators ⋮ Catalan generating functions for bounded operators ⋮ Almost everywhere convergence of powers of some positive \(L_p\) contractions ⋮ On power-subadditive positive operators on the $L_p$ spaces $(1<p<\infty )$ ⋮ Powers of Catalan generating functions for bounded operators ⋮ Discretization of C0$$ {C}_0 $$‐semigroups and discrete semigroups of operators in Banach spaces ⋮ Optimal rates of decay in the Katznelson-Tzafriri theorem for operators on Hilbert spaces ⋮ Poisson equation and discrete one-sided Hilbert transform for \((C, \alpha)\)-bounded operators ⋮ A short proof of the zero-two law for cosine functions ⋮ Rates of decay in the classical Katznelson-Tzafriri theorem ⋮ The Ritt property of subordinated operators in the group case ⋮ The theory of Besov functional calculus: developments and applications to semigroups ⋮ On subordination of holomorphic semigroups ⋮ On discrete subordination of power bounded and Ritt operators ⋮ On the Ritt property and weak type maximal inequalities for convolution powers on $\ell ^1(\mathbb {Z})$

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