Interpolation for (positive) \(C_ 0\)-semigroups on \(L_ p\)-spaces

DOI10.1007/BF01304216zbMath0552.47017OpenAlexW2995384773MaRDI QIDQ801525

Juergen Voigt

Publication date: 1985

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

Full work available at URL: https://eudml.org/doc/173539

zbMATH Keywords

positive operatorsStein interpolation theoremgenerator of a \(C_ 0\)-semigroup on a Banach spaceuniform spectral bound

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Linear operators on ordered spaces (47B60)

Related Items (5)

On the \(L_ p\)-spectrum of Schrödinger operators ⋮ Weak \(L^ p\)-stability of a linear semigroup on a Hilbert space implies exponential stability ⋮ The resolvent growth assumption for semigroups on Hilbert spaces ⋮ Scattering theory for linearized Boltzmann equation. Survey and new results ⋮ Lyapunov property of positive C_0-semigroups on non-commutative L^p spaces

Cites Work

• Positive one-parameter semigroups on ordered Banach spaces
• Semigroups of linear operators and applications to partial differential equations
• Spectral properties of the neutron transport equation
• Positivity in time dependent linear transport theory
• On the \(L_ p\)-spectrum of Schrödinger operators
• Über das Spektrum positiver Generatoren
• Schrödinger semigroups
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
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