Some basic properties of generalized Calderón-Lozanovskiĭ spaces

zbMath0906.46022MaRDI QIDQ1128029

Henryk Hudzik, Paweł Foralewski

Publication date: 18 February 1999

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/40773

zbMATH Keywords

Banach function latticesconcave functionnorm convergencemodular convergencegeneralized Calderon-Lozanovskiĭ spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Banach lattices (46B42)

Related Items (15)

Local monotonicity structure of Calderón-Lozanovskiĭ spaces. ⋮ Quotients, \(\ell_\infty\) and abstract Cesàro spaces ⋮ Local rotundity structure of Calderón--Lozanovskiĭ spaces ⋮ Kadec-Klee properties of Calderón-Lozanovskiĭ function spaces ⋮ Uniform Gateaux differentiability and weak uniform rotundity of Musielak-Orlicz function spaces. ⋮ Geometric properties of \(F\)-normed Orlicz spaces ⋮ Monotonicity and rotundity properties in Banach lattices ⋮ Nonsquareness in Musielak-Orlicz-Bochner function spaces ⋮ Uniform Gateaux differentiability and weak uniform rotundity of Musielak-Orlicz function spaces ⋮ Property \(\beta \) of Rolewicz and orthogonal convexities of Calderón-Lozanovski spaces ⋮ Approximative compactness and full rotundity in Musielak--Orlicz spaces and Lorentz--Orlicz spaces ⋮ On property \((\beta)\) in Banach lattices, Calderón-Lozanowskiĭ and Orlicz-Lorentz spaces ⋮ The criteria of strict monotonicity and rotundity points in generalized Calderón-Lozanovskiǐ spaces ⋮ Moduli and characteristics of monotonicity in general Banach lattices and in Orlicz spaces in particular ⋮ Local \(\Delta _2^E(x)\) condition as a crucial tool for local structure of Calderón-Lozanovskiĭ spaces

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