Extremal growth of powers of operators satisfying resolvent conditions of Kreiss-Ritt type

DOI10.1006/jfan.2002.3934zbMath1015.47002OpenAlexW2086346426MaRDI QIDQ1865323

Thomas Ransford, Omar El-Fallah

Publication date: 26 March 2003

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

Full work available at URL: https://doi.org/10.1006/jfan.2002.3934

zbMATH Keywords

bounded operatorsresolvent conditionpower-bounded operatorRitt conditionKreiss conditionCarlesson set

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (9)

Functional calculus estimates for Tadmor-Ritt operators ⋮ Functional calculus under the Tadmor--Ritt condition, and free interpolation by polynomials of a given degree ⋮ On ergodic operator means in Banach spaces ⋮ Sublinear dimension growth in the Kreiss Matrix Theorem ⋮ Rates of decay in the classical Katznelson-Tzafriri theorem ⋮ On discrete subordination of power bounded and Ritt operators ⋮ Resolvent conditions and growth of powers of operators ⋮ Condition numbers of large matrices, and analytic capacities ⋮ The Riesz turndown collar theorem giving an asymptotic estimate of the powers of an operator under the Ritt condition

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• 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
• Ideals in Rings of Analytic Functions with Smooth Boundary Values

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