Properties \((U\widetilde {A}_2)^*\) and \((W\widetilde {A}_2)\) in Orlicz spaces and some of their consequences

DOI10.1016/j.jmaa.2011.09.001zbMath1250.46012OpenAlexW2476221182MaRDI QIDQ645402

Brailey Sims, Henryk Hudzik, Yun An Cui

Publication date: 15 November 2011

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.2011.09.001

zbMATH Keywords

weak fixed point propertyOrlicz spacefixed point propertyweak Banach-Saks property\((NUS^*)\)-property\((UKK)\)-propertyproperty \((A_2)\)

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) Geometry and structure of normed linear spaces (46B20)

Cites Work

• Orlicz spaces and modular spaces
• Basic theory of \(p\)-Amemiya norm in Orlicz spaces (\(1\leq p\leq \infty\)): Extreme points and rotundity in Orlicz spaces endowed with these norms
• On the uniform Opial property in some modular sequence spaces
• The fixed point property in Banach spaces with the NUS-property
• Smoothness and Weak Sequential Compactness
• Banach-Saks property in some Banach sequence spaces
• Weakly Convergent Sequence Coefficient of Product Space
• The Schur and (weak) Dunford-Pettis properties in Banach lattices
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