When do the Banach lattices \(C([0,\alpha],X)\) determine the ordinal intervals \([0,\alpha]\)?

DOI10.1016/j.jmaa.2016.06.022zbMath1356.46016OpenAlexW2423164555MaRDI QIDQ302092

Elói Medina Galego, Michael A. Rincón-Villamizar

Publication date: 4 July 2016

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.2016.06.022

zbMATH Keywords

Banach latticesKaplansky's theorem\(C(K,X)\)cancellation lawlattices without copies of \(c_0\)

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Banach lattices (46B42)

Cites Work

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• Set-valued mappings and enlargement of monotone operators.
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• An Isomorphic Classification of C(2^m×[0, α) Spaces]
• An example of infinite dimensional reflexive Banach space non-isomorphic to its Cartesian square
• Compact spaces homeomorphic to a ray of ordinals
• Lattices of continuous functions

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