REMARKS ON ℓ1 AND -MAXIMAL REGULARITY FOR POWER-BOUNDED OPERATORS

DOI10.1017/S1446788708000712zbMath1153.47031OpenAlexW2144827466MaRDI QIDQ3533818

Pierre Portal, Nigel J. Kalton

Publication date: 24 October 2008

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

Full work available at URL: https://doi.org/10.1017/s1446788708000712

zbMATH Keywords

maximal regularitypower-bounded operatorsquare functionRitt's condition

Mathematics Subject Classification ID

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) Discrete version of topics in analysis (39A12) Difference operators (39A70)

Related Items (14)

Maximal regularity in \(l_{p}\) spaces for discrete time fractional shifted equations ⋮ Functional calculus estimates for Tadmor-Ritt operators ⋮ Supercyclicity and resolvent condition for weighted composition operators ⋮ Well-posedness of second order evolution equation on discrete time ⋮ Maximal \(L^1\)-regularity of generators for bounded analytic semigroups in Banach spaces ⋮ A refinement of Baillon’s theorem on maximal regularity ⋮ Obituary: Nigel John Kalton, 1946-2010 ⋮ Weighted/unweighted composition operators which are Ritt or unconditional Ritt operators ⋮ Semilinear functional difference equations with infinite delay ⋮ Resolvent growth condition for composition operators on the Fock space ⋮ Perturbation theory, stability, boundedness and asymptotic behaviour for second order evolution equation in discrete time ⋮ A perturbation theory for the discrete harmonic oscillator equation ⋮ On discrete subordination of power bounded and Ritt operators ⋮ Ritt operators and convergence in the method of alternating projections

Cites Work

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• Equations d'évolution abstraites non linéaires de type parabolique
• Discrete time analytic semigroups and the geometry of Banach spaces
• A Condition that lim n→∞ n -1 T n = 0
• Analytic semigroups and optimal regularity in parabolic problems
• Analyticity and discrete maximal regularity on \(\ell_p\)-spaces
• The \(H^\infty\)-calculus and sums of closed operators

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