Uniform rotundity of Musielak-Orlicz sequence spaces

DOI10.1016/0021-9045(86)90020-1zbMath0606.46003OpenAlexW2125550936MaRDI QIDQ1084618

Anna Kaminska

Publication date: 1986

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(86)90020-1

zbMATH Keywords

Young functionsMusielak-Orlicz sequence spaceuniformly rotund

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25)

Related Items

Isomorphic $\ell ^p$-subspaces in Orlicz-Lorentz sequence spaces, Weak Uniform Rotundity of Orlicz Sequence Spaces, Closedness of the Set of Extreme Points in Orlicz Spaces, Some vector valued sequence spaces of Musielak-Orlicz functions and their operator ideals, On Some Convexity Properties of Orlicz Sequence Spaces Equipped with the Luxemburg Norm, On some geometric properties of generalized Orlicz-Lorentz function spaces, Banach-Saks type and Gurariǐ modulus of convexity of some Banach sequence spaces, Uniformly non-\(\ell^{(1)}_n\) Musielak-Orlicz sequence spaces, Local uniform rotundity and weak local uniform rotundity of Musielak--Orlicz sequence spaces endowed with the Orlicz norm, Monotonicity properties and solvability of dominated best approximation problem in Orlicz spaces equipped with $s$-norms, Unnamed Item, Type and cotype of Musielak-Orlicz sequence spaces, Property (\(k\)-\(\beta \)) of Musielak-Orlicz and Musielak-Orlicz-Cesàro 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, On some geometric properties of generalized Musielak-Orlicz sequence space and corresponding operator ideals, Maluta's coefficient of Musielak-Orlicz sequence spaces, Maluta’s coefficient and Opial’s properties in Musielak–Orlicz sequence spaces equipped with the Luxemburg norm, Some geometric properties of generalized Cesàro-Musielak-Orlicz spaces equipped with the Amemiya norm

Cites Work

• Orlicz spaces and modular spaces
• On comparison of Orlicz spaces and Orlicz classes
• The criteria for local uniform rotundity of Orlicz spaces
• Best approximants in L ? -spaces
• Best ?- and N ?-approximants in Orlicz spaces of vector valued functions
• Uniform convexity of Banach spaces l({p_{i}})
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