On isometric copies of \(\ell _{\infty }\) and James constants in Cesáro-Orlicz sequence spaces

DOI10.1016/j.jmaa.2010.07.011zbMath1210.46015OpenAlexW2076609429MaRDI QIDQ994330

Damian Kubiak, Anna Kaminska

Publication date: 17 September 2010

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.2010.07.011

zbMATH Keywords

James constantCesàro-Orlicz sequence space\(B\)-convexityisometric copy of \(\ell _{\infty }\)

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Banach sequence spaces (46B45)

Related Items

Quotients, \(\ell_\infty\) and abstract Cesàro spaces, Non-squareness properties of Orlicz-Lorentz function spaces, Isomorphic copies of \(l^\infty \) in Cesàro-Orlicz function spaces, Certain geometric structures of \(\Lambda\)-sequence spaces, Some remarks on the geometry of Lorentz spaces, On some geometric properties of generalized Orlicz-Lorentz function spaces, Points of nonsquareness of Lorentz spaces \(\Gamma_{p, w}\), On sequence ideal using Orlicz function and de la Vallée Poussin mean, Banach-Saks type and Gurariǐ modulus of convexity of some Banach sequence spaces, Rotundity and monotonicity properties of selected Cesàro function spaces, Points of nonsquareness of Lorentz spaces \(\Gamma_{p, w}\), Isometric copies of \(l^\infty\) in Cesàro-Orlicz function spaces, Non-square points of Orlicz-Lorentz function spaces, Property (\(k\)-\(\beta \)) of Musielak-Orlicz and Musielak-Orlicz-Cesàro spaces, Problems of existence of order copies of \(\ell ^\infty\) and \(L_p(\nu )\) in some non-Banach Köthe spaces, Isomorphic and isometric structure of the optimal domains for Hardy-type operators, The Daugavet property in the Musielak-Orlicz spaces

Cites Work

• Orlicz spaces and modular spaces
• Basic topological and geometric properties of Cesàro-Orlicz spaces
• On the James constant and \(B\)-convexity of Cesàro and Cesàro--Orlicz sequence spaces
• Local rotundity structure of Cesàro--Orlicz sequence spaces
• A note on Cesàro--Orlicz sequence spaces
• Banach lattices with order isometric copies of \(l^\infty\)
• Generalizations of an inequality of Hardy
• Indices for the Orlicz spaces
• Some remarks on Cesàro-Orlicz sequence spaces
• Amemiya norm equals Orlicz norm in general
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