The Riesz turndown collar theorem giving an asymptotic estimate of the powers of an operator under the Ritt condition

DOI10.1007/BF02872878zbMath1194.47021MaRDI QIDQ2569859

Pascale Vitse

Publication date: 20 October 2005

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

multiplierspower boundedfunctional calculusCauchy-Stieltjes integralsTadmor and Ritt conditions

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60)

Related Items (6)

Functional calculus estimates for Tadmor-Ritt operators ⋮ A sufficient condition for the similarity of a polynomially bounded operator to a contraction ⋮ Functional calculus under the Tadmor--Ritt condition, and free interpolation by polynomials of a given degree ⋮ Sublinear dimension growth in the Kreiss Matrix Theorem ⋮ On discrete subordination of power bounded and Ritt operators ⋮ A Besov class functional calculus for bounded holomorphic semigroups

Cites Work

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• Extremal growth of powers of operators satisfying resolvent conditions of Kreiss-Ritt type
• Functional calculus under the Tadmor--Ritt condition, and free interpolation by polynomials of a given degree
• A resolvent condition implying power boundedness
• Spectral localization, power boundedness and invariant subspaces under Ritt's type condition
• A note about ritt's condition, related resolvent conditions and power bounded operators
• POWER-BOUNDED OPERATORS AND RELATED NORM ESTIMATES
• About the sharpness of the stability estimates in the Kreiss matrix theorem
• Functional calculus under Kreiss type conditions
• A Condition that lim n→∞ n -1 T n = 0

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