Measures of non-compactness of operators on Banach lattices

DOI10.1023/B:POST.0000042833.31340.6BzbMath1081.47043arXivmath/0210088MaRDI QIDQ702027

Vladimir G. Troitsky

Publication date: 17 January 2005

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0210088

zbMATH Keywords

essential spectrumnonstandard analysisnonstandard hullessential spectral radiusmeasure of non-compactnessAM-compact operator

Mathematics Subject Classification ID

Banach lattices (46B42) Spectrum, resolvent (47A10) Ultraproduct techniques in Banach space theory (46B08) Positive linear operators and order-bounded operators (47B65) Compactness in Banach (or normed) spaces (46B50) Nonstandard analysis (26E35)

Related Items (20)

Unnamed Item ⋮ Spaces of $u\tau$-Dunford-Pettis and $u\tau$-Compact Operators on Locally Solid Vector Lattices ⋮ Spectral theory in ordered Banach algebras ⋮ Unbounded norm topology beyond normed lattices ⋮ Unbounded norm convergence in Banach lattices ⋮ Disjointly non-singular operators: extensions and local variations ⋮ Unbounded \(p\)-convergence in lattice-normed vector lattices ⋮ Vector lattices with a Hausdorff uo-Lebesgue topology ⋮ Some loose ends on unbounded order convergence ⋮ Unbounded norm topology in Banach lattices ⋮ \(um\)-topology in multi-normed vector lattices ⋮ The multiplicative norm convergence in normed Riesz algebras ⋮ \(u\tau \)-convergence in locally solid vector lattices ⋮ The essential spectral radius of Volterra operators and an application to Volterra-Hammerstein functional inclusions ⋮ Some results on unbounded absolute weak Dunford-Pettis operators ⋮ Topological aspects of order in \(C(X)\) ⋮ Unbounded asymptotic equivalences of operator nets with applications ⋮ Sur l’ideal d’ordre des operateurs AM-compacts ⋮ Unbounded order convergence and application to martingales without probability ⋮ On the submultiplicativity and subadditivity of the spectral and essential spectral radius

This page was built for publication: Measures of non-compactness of operators on Banach lattices