Local rotundity structure of Calderón--Lozanovskiĭ spaces

DOI10.1016/S0019-3577(06)80039-XzbMath1111.46011OpenAlexW2068398573MaRDI QIDQ855788

Agata Narloch, Henryk Hudzik, Pawel Kolwicz

Publication date: 7 December 2006

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0019-3577(06)80039-x

zbMATH Keywords

extreme pointOrlicz functionKöthe spaceCalderón-Lozanovsky spacedelta two type conditionpoint of local uniform monotonicitypoint of lower (upper) monotonicitystrongly extreme point

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) Geometry and structure of normed linear spaces (46B20) Banach sequence spaces (46B45)

Related Items (9)

Local structure of symmetrizations \(E^{(\ast)}\) with applications ⋮ Monotonicity properties in Banach spaces via sublinear operators and corrigendum to ``Rotundity properties in Banach spaces via sublinear operators. ⋮ Points of nonsquareness of Lorentz spaces \(\Gamma_{p, w}\) ⋮ Points of nonsquareness of Lorentz spaces \(\Gamma_{p, w}\) ⋮ Local approach to Kadec-Klee properties in symmetric function spaces ⋮ Rotundity properties in Banach spaces via sublinear operators ⋮ Kadec-Klee properties of some quasi-Banach function spaces ⋮ The criteria of strict monotonicity and rotundity points in generalized Calderón-Lozanovskiǐ spaces ⋮ Local \(\Delta _2^E(x)\) condition as a crucial tool for local structure of Calderón-Lozanovskiĭ spaces

Cites Work

• Orlicz spaces and modular spaces
• Some basic properties of generalized Calderón-Lozanovskiĭ spaces
• Geometry of Banach spaces. Selected topics
• On some local geometry of Orlicz sequence spaces equipped with the Luxemburg norm
• Strongly extreme points in Köthe-Bochner spaces
• On characterization of strongly extreme points in Köthe-Bochner spaces
• Extreme points and strongly extreme points in Orlicz spaces equipped with the Orlicz norm
• Strongly extreme points in Orlicz function spaces
• On the geometry of some Calderón-Lozanovskij interpolation spaces
• Intermediate spaces and interpolation, the complex method
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