On the ideal structure of positive, eventually compact linear operators on Banach lattices

DOI10.2140/pjm.1993.157.57zbMath0739.47015OpenAlexW2057802746MaRDI QIDQ811615

Ruey-Jen Jang-Lewis, Harold Dean jun. Victory

Publication date: 1993

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

Full work available at URL: https://doi.org/10.2140/pjm.1993.157.57

zbMATH Keywords

Banach latticeFrobenius normal formorder continuous normcompletely continuous iteratedimension of the algebraic eigenspacePerron- Frobenius theoryRiesz index of the spectral radiusspectral radius of a nonnegative reducible linear operator

Mathematics Subject Classification ID

Banach lattices (46B42) Linear operators defined by compactness properties (47B07) Positive linear operators and order-bounded operators (47B65)

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On principal \(T\)-bands in a Banach lattice ⋮ Positive root vectors ⋮ On nonnegative solvability of linear integral equations ⋮ Geometric eigenspace of the generator of \(C_0\)-semigroup of positive operators ⋮ On the spectral theory of positive operators and PDE applications ⋮ On nonnegative solvability of linear operator equations ⋮ On the invariant faces associated with a cone-preserving map ⋮ Linear equations over cones and Collatz-Wielandt numbers

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