Strictly singular and power-compact operators on Banach lattices

DOI10.1007/s11856-011-0152-zzbMath1262.46017OpenAlexW2010361889MaRDI QIDQ1760336

Francisco L. Hernández, Julio Flores, Evgueni M. Semenov, Pedro Tradacete

Publication date: 13 November 2012

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

Full work available at URL: https://doi.org/10.1007/s11856-011-0152-z

zbMATH Keywords

rearrangement invariant spaceLorentz spacecompact operatorstrictly singular operatorOrlicz function spacesdisjointly homogeneous Banach lattice

Mathematics Subject Classification ID

Banach lattices (46B42) Linear operators defined by compactness properties (47B07) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Banach sequence spaces (46B45)

Related Items

Compact and strictly singular operators in rearrangement invariant spaces and Rademacher functions ⋮ Strictly singular operators in pairs of \(L_p\) space ⋮ Strictly singular multiplication operators on \(\mathcal{L} (X)\) ⋮ Weakly compact sets and weakly compact pointwise multipliers in Banach function lattices ⋮ Disjointly homogeneous rearrangement invariant spaces via interpolation ⋮ On disjointly homogeneous Orlicz-Lorentz spaces ⋮ Geometry of Banach limits and their applications ⋮ Duality problem for disjointly homogeneous rearrangement invariant spaces ⋮ Disjointly Homogeneous Banach Lattices and Applications ⋮ Perturbation classes of semi-Fredholm operators in Banach lattices ⋮ Disjointly homogeneous Banach lattices: duality and complementation ⋮ Disjointly homogeneous Orlicz spaces revisited ⋮ Some remarks about disjointly homogeneous symmetric spaces

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