Asplund spaces characterized by rich families and separable reduction of Fréchet subdifferentiability
Type of publication: | Article |
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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 | |
Added by: | [VP] |
Total mark: | 0 |
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