A generalization of sectorial and quasi-sectorial operators

DOI10.1016/j.jfa.2011.12.014zbMath1248.47042OpenAlexW2031884562MaRDI QIDQ765920

Vygantas Paulauskas

Publication date: 22 March 2012

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2011.12.014

zbMATH Keywords

finite difference approximationsChernoff theoryTrotter product formulasectorial operatorsRitt conditionquasi-sectorial operators

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (1)

Remarks on rates of convergence of powers of contractions

Cites Work

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• Numerical range and quasi-sectorial contractions
• Note on product formulas for operator semigroups
• Resolvent conditions and powers of operators
• The single-point spectrum operators satisfying Ritt's resolvent condition
• 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
• Uniform Abel–Kreiss boundedness and the extremal behaviour of the Volterra operator
• A Condition that lim n→∞ n -1 T n = 0
• Operator-norm approximation of semigroups by quasi-sectorial contractions

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