Continuous-time Kreiss resolvent condition on infinite-dimensional spaces

DOI10.1090/S0025-5718-06-01862-XzbMath1119.47041OpenAlexW2111571651MaRDI QIDQ3420241

Hans J. Zwart, Tetyana Lobova

Publication date: 1 February 2007

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-06-01862-x

zbMATH Keywords

\(C_0\)-semigroupsstability estimateKreiss resolvent estimate

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Stability theory of functional-differential equations (34K20) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical solutions to equations with linear operators (65J10) Applications of operator theory in numerical analysis (47N40)

Related Items (9)

On measuring unboundedness of the \(H^\infty\)-calculus for generators of analytic semigroups ⋮ Asymptotic behaviour of \(C_0\)-semigroups and \(\gamma\)-boundedness of the resolvent ⋮ Growth order and stability of semigroups and cosine operator functions ⋮ Discussing semigroup bounds with resolvent estimates ⋮ Sharp growth rates for semigroups using resolvent bounds ⋮ Resolvent conditions and growth of powers of operators ⋮ Behavior of Kreiss bounded \(C_0\)-semigroups on a Hilbert space ⋮ Growth rate of eventually positive kreiss bounded \(C_0\)-semigroups on \(L^p\) and \(\mathcal{C}(K)\) ⋮ Operator-valued \((L^p, L^q)\) Fourier multipliers and stability theory for evolution equations

Cites Work

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