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Convex sets in Banach spaces and a problem of Rolewicz

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Granero A. S., Jiménez Sevilla M., Moreno J. P.

Studia Mathematica

1998

tom 129

nr 1

19-29

Let $B_x$ be the set of all closed, convex and bounded subsets of a Banach space X equipped with the Hausdorff metric. In the first part of this work we study the density character of $B_x$ and investigate its connections with the geometry of the space, in particular with a property shared by the spaces of Shelah and Kunen. In the second part we are concerned with the problem of Rolewicz, namely the existence of support sets, for the case of spaces C(K).

Ograniczanie wyników

1 Studia Mathematica

1 Granero A. S.

1 Jiménez Sevilla M.

1 Moreno J. P.

1 1998

Wyniki wyszukiwania

Convex sets in Banach spaces and a problem of Rolewicz