Local \(\Delta _2^E(x)\) condition as a crucial tool for local structure of Calderón-Lozanovskiĭ spaces

DOI10.1016/j.jmaa.2009.03.030zbMath1211.46012OpenAlexW1967986010MaRDI QIDQ1025040

Ryszard Płuciennik, Pawel Kolwicz

Publication date: 18 June 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.03.030

zbMATH Keywords

order continuityKöthe spaceslocal monotonicity propertiesCalderón-Lozanovskii 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) Geometry and structure of normed linear spaces (46B20) Banach sequence spaces (46B45)

Related Items (13)

Local structure of symmetrizations \(E^{(\ast)}\) with applications ⋮ Monotonicity and rotundity of Lorentz spaces \(\varGamma_{p,w}\) ⋮ Kadec-Klee properties of Calderón-Lozanovskiĭ function spaces ⋮ Points of nonsquareness of Lorentz spaces \(\Gamma_{p, w}\) ⋮ Local approach to monotonicity properties in \(\psi\)-direct sums of Köthe spaces ⋮ Some Characterizations of Riesz- Valued Sequence Spaces Generated by an Orderϕ-Function ⋮ Monotonicity Properties of Banach Lattices and Their Applications – a Survey ⋮ Points of nonsquareness of Lorentz spaces \(\Gamma_{p, w}\) ⋮ Kadec-Klee properties of Calderón-Lozanovskiĭ sequence spaces ⋮ Local monotonicity structure of symmetric spaces with applications ⋮ Property \(\beta \) of Rolewicz and orthogonal convexities of Calderón-Lozanovski spaces ⋮ Local approach to Kadec-Klee properties in symmetric function spaces ⋮ Local monotonicity coefficients in Orlicz sequence spaces equipped with the \(p\)-Amemiya norm

Cites Work

• Local rotundity structure of Calderón--Lozanovskiĭ spaces
• Some basic properties of generalized Calderón-Lozanovskiĭ spaces
• Strictly and uniformly monotone Musielak-Orlicz spaces and applications to best approximation
• Points of monotonicity in Musielak--Orlicz function spaces endowed with the Luxemburg norm
• Local monotonicity structure of Calderón-Lozanovskiĭ spaces.
• On the geometry of some Calderón-Lozanovskij interpolation spaces
• Monotonicity and rotundity properties in Banach lattices
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