Uniformly non-l n (1) Musielak-Orlicz Spaces of Bochner Type

DOI10.1515/FORM.1989.1.403zbMath0686.46016OpenAlexW1966597608MaRDI QIDQ4204635

Ghassan Alherk, Henryk Hudzik

Publication date: 1989

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/141625

zbMATH Keywords

Musielak-Orlicz spaceMusielak-Orlicz functionOrlicz-Bochner spacesuniformly \(non\)-\(\ell _ n^{(1)}\)

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) Spaces of vector- and operator-valued functions (46E40)

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Uniformly non-square points and representation of functionals of Orlicz-Bochner sequence spaces ⋮ Uniform nonsquareness and locally uniform nonsquareness in Orlicz-Bochner function spaces and applications ⋮ On generalized García-Falset coefficient in Musielak-Orlicz sequence spaces ⋮ \(P\)-convexity of Orlicz-Bochner function spaces endowed with the Orlicz norm ⋮ Banach-Saks type and Gurariǐ modulus of convexity of some Banach sequence spaces ⋮ \(I\)-convexity and \(Q\)-convexity in Orlicz-Bochner function spaces equipped with the Luxemburg norm ⋮ Uniformly non-\(l_n^{(1)}\), locally uniformly non-\(l_n^{(1)}\) and non-\(l_n^{(1)}\) properties in Orlicz-Bochner function spaces endowed with the Orlicz norm ⋮ On some local geometric properties in Musielak-Orlicz function spaces ⋮ On property \((\beta)\) in Banach lattices, Calderón-Lozanowskiĭ and Orlicz-Lorentz spaces ⋮ Uniform Gateaux differentiability and weak uniform rotundity in Musielak-Orlicz function spaces of Bochner type equipped with the Luxemburg norm ⋮ Non-\(l_n^{(1)}\) point and uniformly non-\(l_n^{(1)}\) point of Orlicz-Bochner function spaces

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