On the peripheral point spectrum and the asymptotic behavior of irreducible semigroups of Harris operators

DOI10.1007/s11117-012-0210-8zbMath1297.47042arXiv1201.3531OpenAlexW2041879799MaRDI QIDQ369619

Moritz Gerlach

Publication date: 19 September 2013

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.3531

zbMATH Keywords

asymptotic behaviorcompact operatorirreducibleperipheral point spectrumHarris operator

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Integral operators (47G10) Positive linear operators and order-bounded operators (47B65) Local spectral properties of linear operators (47A11)

Related Items (9)

Stability of transition semigroups and applications to parabolic equations ⋮ Uniform convergence of stochastic semigroups ⋮ On a convergence theorem for semigroups of positive integral operators ⋮ On characteristics of the range of kernel operators ⋮ A Tauberian theorem for strong Feller semigroups ⋮ Almost interior points in ordered Banach spaces and the long-term behaviour of strongly positive operator semigroups ⋮ Lower bounds and the asymptotic behaviour of positive operator semigroups ⋮ Convergence of positive operator semigroups ⋮ On the lattice structure of kernel operators

Cites Work

• Triviality of the peripheral point spectrum
• Mean-bounded operators and mean ergodic theorems
• Ergodic theorems. With a supplement by Antoine Brunel
• Zur Perron-Frobenius-Theorie stark stetiger Halbgruppen
• On the 0-spektrum of regular operators and the spectrum of measures
• Banach lattices
• On the peripheral spectrum of bounded positive semigroups on atomic Banach lattices
• Positive semigroups of kernel operators
• Triviality of the peripheral point spectrum of positive semigroups on atomic Banach lattices
• Sets of multiplicity in locally compact abelian groups
• Tauberian Theorems and Stability of One-Parameter Semigroups
• One-Parameter Semigroups for Linear Evolution Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the peripheral point spectrum and the asymptotic behavior of irreducible semigroups of Harris operators