Uniformly non-\(\ell^{(1)}_n\) Musielak-Orlicz sequence spaces

DOI10.1007/BF02868018zbMath0789.46008OpenAlexW1983879651MaRDI QIDQ1182589

Manfred Denker, Henryk Hudzik

Publication date: 28 June 1992

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02868018

zbMATH Keywords

convexityreflexivityMusielak-Orlicz sequence spacesreflexive Orlicz sequenceuniformly non-\(\ell^{(1)}_n\) Nakano sequence spacesuniformly non-\(\ell^{(1)}_n\) property

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Classical Banach spaces in the general theory (46B25) Banach sequence spaces (46B45)

Related Items (15)

On Riesz–Musielak–Orlicz Sequence Spaces ⋮ Non-squareness properties of Orlicz-Lorentz function spaces ⋮ Uniform nonsquareness and locally uniform nonsquareness in Orlicz-Bochner function spaces and applications ⋮ Non-squareness properties of Orlicz spaces equipped with the \(p\)-Amemiya norm ⋮ Weak approximative compactness of hyperplane and Asplund property in Musielak-Orlicz-Bochner function spaces ⋮ On some geometric properties of generalized Orlicz-Lorentz function spaces ⋮ Points of nonsquareness of Lorentz spaces \(\Gamma_{p, w}\) ⋮ Banach-Saks type and Gurariǐ modulus of convexity of some Banach sequence spaces ⋮ Points of nonsquareness of Lorentz spaces \(\Gamma_{p, w}\) ⋮ Approximative compactness and Asplund property in Banach function spaces and in Orlicz-Bochner spaces in particular with application ⋮ Type and cotype of Musielak-Orlicz sequence spaces ⋮ Uniform Gateaux differentiability and weak uniform rotundity in Musielak-Orlicz function spaces of Bochner type equipped with the Luxemburg norm ⋮ On some uniform convexities and smoothness in certain sequence spaces ⋮ Ball-covering property in uniformly non-\(l_3^{(1)}\) Banach spaces and application ⋮ Maluta’s coefficient and Opial’s properties in Musielak–Orlicz sequence spaces equipped with the Luxemburg norm

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