Functional calculus under Kreiss type conditions

DOI10.1002/mana.200310341zbMath1099.47016OpenAlexW1978372643MaRDI QIDQ5717685

Pascale Vitse

Publication date: 10 January 2006

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200310341

zbMATH Keywords

Besov spacesfunctional calculusresolvent growthPick interpolationKreiss conditionKreiss matrix inequality

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Spectrum, resolvent (47A10) Moment problems and interpolation problems in the complex plane (30E05)

Related Items (11)

Functional calculus under the Tadmor--Ritt condition, and free interpolation by polynomials of a given degree ⋮ A Kreiss type inequality for rational functions on general domains ⋮ Sublinear dimension growth in the Kreiss Matrix Theorem ⋮ On the condition number of a Kreiss matrix ⋮ A Besov algebra calculus for generators of operator semigroups and related norm-estimates ⋮ A generalization of the Kreiss matrix theorem ⋮ Condition numbers of matrices with given spectrum ⋮ On Bernstein's inequality for polynomials ⋮ Condition numbers of large matrices, and analytic capacities ⋮ On polynomially bounded operators acting on a Banach space ⋮ The Riesz turndown collar theorem giving an asymptotic estimate of the powers of an operator under the Ritt condition

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