Measures of non-compactness of operators in Banach lattices

DOI10.1016/0022-1236(88)90131-0zbMath0651.47023OpenAlexW1975713661MaRDI QIDQ1106446

Ben de Pagter, Anton R. Schep

Publication date: 1988

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(88)90131-0

zbMATH Keywords

essential spectral radiusAM-compact operatorsdisjointness preserving operatorsball measure of non- compactnesscomplex Banach latticesFredholm domainmeasure of non-semicompactnessorder bounded linear

Mathematics Subject Classification ID

Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Banach lattices (46B42) Linear operators on ordered spaces (47B60)

Related Items (21)

Banach Lattices with the Subsequence Splitting Property ⋮ Spectral theory in ordered Banach algebras ⋮ On the approximation of positive operators and the behaviour of the spectra of the approximants ⋮ Distances on probability measures and random variables ⋮ POSITIVE COMPACT OPERATORS ⋮ Domination problems for strictly singular operators and other related classes ⋮ Semicompact operators ⋮ Stability and almost periodicity of asymptotically dominated semigroups of positive operators ⋮ On the spectrum of orthomorphisms and Barbashin operators ⋮ The essential spectrum of AM-compact operators ⋮ Shift operators on Banach spaces ⋮ Cones in Banach algebras ⋮ An application of approach theory to the relative Hausdorff measure of non-compactness for the Wasserstein metric ⋮ Spectral gap of positive operators and applications ⋮ Unnamed Item ⋮ The essential spectral radius of Volterra operators and an application to Volterra-Hammerstein functional inclusions ⋮ On the boundary spectrum of dominated \(C_ 0\)-semigroups ⋮ Quasi-compactness of dominated positive operators and \(C_0\)-semigroups ⋮ Some results on the lattice of closed ideals of $\mathcal L^r(X)$ for $X$ of the form $(\bigoplus_i \ell _p^i)_q$ ⋮ Stability and ergodicity of dominated semigroups. I: The uniform case ⋮ On the submultiplicativity and subadditivity of the spectral and essential spectral radius

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