A short counterexample to the inverse generator problem on non-Hilbertian reflexive \(L^p\)-spaces

DOI10.1007/s00013-015-0863-1zbMath1359.47038arXiv1604.02293OpenAlexW3106197291WikidataQ125028575 ScholiaQ125028575MaRDI QIDQ267057

Stephan Fackler

Publication date: 7 April 2016

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.02293

zbMATH Keywords

inverse generatortransference principle

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06)

Related Items (5)

Abstract degenerate Volterra integro-differential equations: inverse generator problem ⋮ Decay rate of \(\exp (A^{-1}t)A^{-1}\) on a Hilbert space and the Crank-Nicolson scheme with smooth initial data ⋮ A Besov algebra calculus for generators of operator semigroups and related norm-estimates ⋮ Numerical model for macroscopic quantum superpositions based on phase-covariant quantum cloning ⋮ Inverses of generators of integrated fractional resolvent operator functions

Cites Work

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• Dilation of Ritt operators on \(L^p\)-spaces
• Optimal estimates for the semigroup generated by the classical Volterra operator on \(L _{p }\)-spaces
• Regularity Properties of Sectorial Operators: Counterexamples and Open Problems
• Inverses of Generators
• Dilations of one Parameter Semigroups of Positive Contractions on L^p Spaces
• Inverses of generators of nonanalytic semigroups
• Inverse operator of the generator of aC₀-semigroup
• Fractional powers of operators

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