The Australian Journal of Mathematical Analysis and Applications


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ISSN 1449-5910  

 

Paper Information

Paper Title:

The ε-Small Ball Drop Property

Author(s):

C. Donnini and A. Martellotti

Dipartimento di Statistica e Matematica per la Ricerca Economica,
Universitą degli Studi di Napoli "Parthenope",
Via Medina, 80133 Napoli,
Italy
chiara.donnini@uniarthenope.it

{Dipartimento di Matematica e Informatica,
Universitą degli Studi di Perugia,
Via Pascoli - 06123 Perugia,
Italy.
amart@dipmat.unipg.it
URL: www.dipmat.unipg.it/~amart/


Abstract:

We continue the investigation on classes of small sets in a Banach space that give alternative formulations of the Drop Property. The small sets here considered are the set having the small ball property, and we show that for sets having non-empty intrinsic core and whose affine hull contains a closed affine space of infinite dimension the Drop Property can be equivalently formulated in terms of the small ball property.

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