The extension of the Krein-Šmulian theorem for Orlicz sequence spaces and convex sets

DOI10.1016/J.JMAA.2006.03.090zbMath1118.46014OpenAlexW2072596556MaRDI QIDQ865356

N. E. Zubov

Publication date: 14 February 2007

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.2006.03.090

zbMATH Keywords

convex setsOrlicz spacesKrein-Šmulian theorem

Mathematics Subject Classification ID

Banach sequence spaces (46B45) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Cites Work

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• An extension of the Krein--Smulian theorem
• Convexity and \(w^*\)-compactness in Banach spaces
• A quantitative version of Krein's theorem
• The classical Banach spaces ℓ_{𝑣𝑎𝑟𝑝ℎ𝑖}/ℎ_{𝜑}
• Subspaces of certain Banach Sequence Spaces

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