Data di Pubblicazione:
2016
Citazione:
Rethinking polyhedrality for Lindenstrauss spaces / E. Casini, E. Miglierina, L. Piasecki, L. Vesely. - In: ISRAEL JOURNAL OF MATHEMATICS. - ISSN 0021-2172. - 216:1(2016 Oct), pp. 355-369. [10.1007/s11856-016-1412-8]
Abstract:
We present a Lindenstrauss space with an extreme point that does not contain a subspace linearly isometric to c. This example disproves a result stated by Zippin in a paper published in 1969 and it shows that some classical characterizations of polyhedral Lindenstrauss spaces, based on Zippin’s result, are false, whereas some others remain unproven; then we provide a correct proof for those characterizations. Finally, we also disprove a characterization of polyhedral Lindenstrauss spaces given by Lazar, in terms of the compact norm-preserving extension of compact operators, and we give an equivalent condition for a Banach space X to satisfy this property.
Tipologia IRIS:
01 - Articolo su periodico
Elenco autori:
E. Casini, E. Miglierina, L. Piasecki, L. Vesely
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