Local monotonicity structure of Calderón-Lozanovskiĭ spaces.

DOI10.1016/S0019-3577(04)90017-1zbMath1074.46020MaRDI QIDQ1890425

Agata Narloch, Henryk Hudzik

Publication date: 3 January 2005

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

zbMATH Keywords

Köthe space

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)

Related Items (14)

Kadec-Klee properties of Calderón-Lozanovskiĭ function spaces ⋮ Local structure of Riesz valued sequence spaces defined by an order -function ⋮ Complex extreme points and complex convexity in Orlicz-Bochner function spaces ⋮ Local approach to monotonicity properties in \(\psi\)-direct sums of Köthe spaces ⋮ Monotonicity Properties of Banach Lattices and Their Applications – a Survey ⋮ 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 ⋮ Moduli and characteristics of monotonicity in some Banach lattices ⋮ Points of monotonicity in Orlicz-Lorentz function spaces ⋮ 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 ⋮ Geometry of Orlicz spaces equipped with norms generated by some lattice norms in \(\mathbb{R}^{2}\)

Cites Work

• Orlicz spaces and modular spaces
• Some basic properties of generalized Calderón-Lozanovskiĭ spaces
• Strictly and uniformly monotone Musielak-Orlicz spaces and applications to best approximation
• Monotonicity properties of Musielak-Orlicz spaces and dominated best approximation in Banach lattices
• Strictly and uniformly monotone sequential Musielak-Orlicz spaces
• Points of monotonicity in Musielak--Orlicz function spaces endowed with the Luxemburg norm
• On the geometry of some Calderón-Lozanovskij interpolation spaces
• Monotonicity Properties of Lorentz Spaces
• Intermediate spaces and interpolation, the complex method
• Monotonicity and rotundity properties in Banach lattices
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