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Estimates for Kottman's separation constant in reflexive Banach spaces

100%

Maluta E. , Papini P.

Colloquium Mathematicum

2009

tom 117

nr 1

105-119

In reflexive Banach spaces with some degree of uniform convexity, we obtain estimates for Kottman's separation constant in terms of the corresponding modulus.

On Kottman's constants in Banach spaces

100%

Castillo J. , Papini P.

Banach Center Publications

2011

tom 92

nr 1

75-84

This paper deals with a few, not widely known, aspects of Kottman's constant of a Banach space and its symmetric and finite variations. We will consider their behaviour under ultrapowers, relations with other parameters such as Whitley's or James' constant, and connection with the extension of c₀-valued Lipschitz maps.

On nested sequences of convex sets in Banach spaces

80%

Castillo J. , González M. , Papini P.

Studia Mathematica

2014

tom 222

nr 1

19-28

We study different aspects of the representation of weak*-compact convex sets of the bidual X** of a separable Banach space X via a nested sequence of closed convex bounded sets of X.