A note on Cesàro--Orlicz sequence spaces

DOI10.1016/j.jmaa.2008.08.022zbMath1160.46013OpenAlexW2072778863MaRDI QIDQ953489

Damian Kubiak

Publication date: 6 November 2008

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.2008.08.022

zbMATH Keywords

Orlicz functionOrlicz sequence spaceCesàro-Orlicz sequence space

Mathematics Subject Classification ID

Banach sequence spaces (46B45)

Related Items (10)

Isomorphic copies of \(l^\infty \) in Cesàro-Orlicz function spaces ⋮ 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 ⋮ Multiplication operators on Cesàro-Orlicz sequence spaces ⋮ Isometric copies of \(l^\infty\) in Cesàro-Orlicz function spaces ⋮ On isometric copies of \(\ell _{\infty }\) and James constants in Cesáro-Orlicz sequence spaces ⋮ Packing constant for Cesàro-Orlicz sequence spaces ⋮ The spectrum generated by \(s\)-numbers and pre-quasi normed Orlicz-Cesàro mean sequence spaces ⋮ Small pre-quasi Banach operator ideals of type Orlicz-Cesáro mean sequence spaces ⋮ On some geometric properties of generalized Musielak-Orlicz sequence space and corresponding operator ideals

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
• Some geometric properties related to fixed point theory in Cesàro spaces
• Banach-Saks property and property \((\beta)\) in Cesàro sequence spaces
• Packing constant for Cesaro sequence spaces.
• Indices for the Orlicz spaces
• Indices of Function Spaces and their Relationship to Interpolation
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