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Asplund spaces characterized by rich families and separable reduction of Fréchet subdifferentiability
Type of publication: Article
Citation:
Publication status: Published
Journal: Journal of Functional Analysis
Volume: 270
Number: 4
Year: 2016
Pages: 1361–1378
DOI: 10.1016/j.jfa.2015.12.005
Abstract: Asplund property of a Banach space X is characterized by the existence of a rich family, in the product X×X⁎X×X⁎, consisting of some carefully chosen separable subspaces. This structural result is then used to add a lot of precision and simplicity to the known separable reductions of Fréchet subdifferentials.
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Authors Cúth, Marek
Fabian, Marian
Added by: [VP]
Total mark: 0
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