Counterexample to the Spectral Mapping Theorem for the Exponential Function

DOI10.2307/2046305zbMath0594.47033OpenAlexW4254299845WikidataQ124986196 ScholiaQ124986196MaRDI QIDQ3725026

Johann Hejtmanek, Hans G. Kaper

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2046305

zbMATH Keywords

asymptotic behaviorstrongly continuous semigroup of bounded linear operatorsspectral mapping theorem for the exponential function

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03)

Related Items (4)

Semigroups of operators, cosine operator functions, and linear differential equations ⋮ Asymptotic behavior of one-parameter semigroups of positive operators ⋮ A spectral mapping theorem for perturbed Ornstein-Uhlenbeck operators on \(L^2(\mathbb{R}^d)\) ⋮ Two counterexamples to the spectral mapping theorem for semigroups of positive operators

Cites Work

• On a theorem of Gearhart
• Semigroups of linear operators and applications to partial differential equations
• Positivity in time dependent linear transport theory
• Spectral methods in linear transport theory
• On the Spectrum of C 0 -Semigroups
• Spectral Theory for Contraction Semigroups on Hilbert Space
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