8 citations · 9 across the 5 of their papers we have counts for
7 papers
The separable Jung constant in Banach spaces
Jesús M. F. Castillo, Pierluigi Papini
This paper contains a study of the separable form of the classical Jung constant. We first establish, following Davis \cite{davis}, that a Banach space is -sepa…
The isomorphic Kottman constant of a Banach space
Jesús M. F. Castillo, Manuel González, Tomasz Kania +1
We show that the Kottman constant , together with its symmetric and finite variations, is continuous with respect to the Kadets metric, and they are log-convex, hence con…
On isomorphically polyhedral -spaces
Jesús M. F. Castillo, Pier Luigi Papini
We show that there exist -subspaces of separable isomorphically polyhedral Lindenstrauss spaces that cannot be renormed to be a Lindenstrauss space.
On nested sequences of convex sets in a Banach space
Jesús M. F. Castillo, Manuel González, Pier Luigi Papini
In this paper we study different aspects of the representation of weak*-compact convex sets of the bidual of a separable Banach space via a nested sequence of closed c…
Complete sets and completion of sets in Banach spaces
Horst Martini, Pier Luigi Papini, Margarita Spirova
In this paper we study properties of complete sets and of completions of sets in Banach spaces. We consider the family of completions of a given set and its size; we also study in…
Thick coverings for the unit ball of a Banach space
Jesús M. F. Castillo, Pier Luigi Papini, Marilda A. Simoes
We study the behaviour of Whitley's thickness constant of a Banach space with respect to -products and we compute it for classical -spaces.