A note about ritt's condition, related resolvent conditions and power bounded operators

DOI10.1080/01630560008816964zbMath0977.47005OpenAlexW2168183235MaRDI QIDQ4508644

No author found.

Publication date: 17 January 2002

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560008816964

zbMATH Keywords

resolventspectrumpower bounded linear operatorRitt's condition

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Subnormal operators, hyponormal operators, etc. (47B20)

Related Items (11)

Functional calculus estimates for Tadmor-Ritt operators ⋮ Supercyclicity and resolvent condition for weighted composition operators ⋮ Functional calculus under the Tadmor--Ritt condition, and free interpolation by polynomials of a given degree ⋮ Sublinear dimension growth in the Kreiss Matrix Theorem ⋮ Resolvent growth condition for composition operators on the Fock space ⋮ A generalization of sectorial and quasi-sectorial operators ⋮ The sharpness of stability estimates corresponding to a general resolvent condition ⋮ Resolvent conditions and bounds on the powers of matrices, with relevance to numerical stability of initial value problems ⋮ The Riesz turndown collar theorem giving an asymptotic estimate of the powers of an operator under the Ritt condition ⋮ A bound on powers of linear operators, with relevance to numerical stability ⋮ Extremal growth of powers of operators satisfying resolvent conditions of Kreiss-Ritt type

Cites Work

• A generalization of the numerical range of a matrix
• Semigroups of linear operators and applications to partial differential equations
• The equivalence of \(L^ q-\)stability, the resolvent condition, and strict H-stability
• On a conjecture by LeVeque and Trefethen related to the Kreiss matrix theorem
• Two counterexamples related to the Kreiss matrix theorem
• Error growth analysis via stability regions for discretizations of initial value problems
• On the resolvent condition in the Kreiss matrix theorem
• The stability of rational approximations of analytic semigroups
• A discrete Hille-Yosida-Phillips theorem
• A Stability Result for Sectorial Operators in Banach Bpaces
• A survey of the theory of spectral operators
• Über Die Stabilitätsdefinition Für Differenzengleichungen Die Partielle Differentialgleichungen Approximieren
• Stability of finite difference approximations to a diffusion-convection equation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A note about ritt's condition, related resolvent conditions and power bounded operators