Data di Pubblicazione:
2009
Citazione:
Finitely locally finite coverings of Banach spaces / V.P. Fonf, C. Zanco. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - 350:2(2009), pp. 640-650.
Abstract:
A well known result due to H. Corson
states that, for any covering $\tau$ by closed bounded convex
subsets of any Banach space $X$ containing an infinite-dimensional
reflexive subspace, there exists a compact subset $C$ of $X$ that
meets infinitely many members of $\tau$. We strengthen this result
proving that, even under the weaker assumption that $X$ contains an
infinite-dimensional separable dual space, a (algebraically)
finite-dimensional compact set $C$ with that property can always be
found.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Covering; Finitely locally finite covering; Locally finite covering
Elenco autori:
V.P. Fonf, C. Zanco
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