Triviality of the peripheral point spectrum of positive semigroups on atomic Banach lattices

DOI10.1007/s11117-007-2151-1zbMath1152.47030OpenAlexW1998612792MaRDI QIDQ2481633

Manfred P. H. Wolff

Publication date: 11 April 2008

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-007-2151-1

zbMATH Keywords

positive semigroupsperipheral point spectrumatomic Banach lattices

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Banach lattices (46B42) Spectrum, resolvent (47A10) Positive linear operators and order-bounded operators (47B65)

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Embeddability of real and positive operators ⋮ Stability of transition semigroups and applications to parabolic equations ⋮ On the peripheral point spectrum and the asymptotic behavior of irreducible semigroups of Harris operators ⋮ On a convergence theorem for semigroups of positive integral operators ⋮ Multiplicative coordinate functionals and ideal-triangularizability ⋮ Positive semigroups of kernel operators ⋮ Lower bounds and the asymptotic behaviour of positive operator semigroups ⋮ Convergence of positive operator semigroups

Cites Work

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• Triviality of the peripheral point spectrum
• Zur Perron-Frobenius-Theorie stark stetiger Halbgruppen
• Banach lattices
• On the peripheral spectrum of bounded positive semigroups on atomic Banach lattices
• One-Parameter Semigroups for Linear Evolution Equations