On the peripheral spectrum of positive operators

DOI10.1007/BF02785673zbMath0643.47002MaRDI QIDQ5903621

Vincent Caselles

Publication date: 1987

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Banach latticeperipheral spectrumcompact perturbationpositive irreducible operatorRiesz point of the spectrum

Mathematics Subject Classification ID

Banach lattices (46B42) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Linear operators on ordered spaces (47B60)

Related Items (19)

Spectral theory in ordered Banach algebras ⋮ Spectrum and convergence of eventually positive operator semigroups ⋮ POSITIVE COMPACT OPERATORS ⋮ Extensions of Perron-Frobenius theory ⋮ On the approximation of the leading eigenelements for a class of transport operators ⋮ Domination problems for strictly singular operators and other related classes ⋮ The irreducibility in ordered Banach algebras ⋮ On the exponential decay to equilibrium of the degenerate linear Boltzmann equation ⋮ Stability and almost periodicity of asymptotically dominated semigroups of positive operators ⋮ The essential spectrum of AM-compact operators ⋮ Cones in Banach algebras ⋮ The lower Weyl spectrum of a positive operator ⋮ Spectral gaps for hyperbounded operators ⋮ Some properties of essential spectra of a positive operator. II ⋮ On the boundary spectrum of dominated \(C_ 0\)-semigroups ⋮ Quasi-compactness of dominated positive operators and \(C_0\)-semigroups ⋮ Stability and ergodicity of dominated semigroups. II: The strong case ⋮ Approximations of positive operators and continuity of the spectral radius. II ⋮ Stability and ergodicity of dominated semigroups. I: The uniform case

Cites Work

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