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The two-ball property: transitivity and examples

Part of: Normed linear spaces and Banach spaces; Banach lattices

Published online by Cambridge University Press:  26 February 2010

Rafael Payá  and
David Yost
Rafael Payá
Affiliation:
Departamento de Analisis Matematico, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain.
David Yost
Affiliation:
Department of Mathematics, Institute of Advanced Studies, Australian National University, GPO Box 4 Canberra ACT 2601, Australia.
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Abstract

The 2-ball property is shown to be transitive. Combining this with some results on the decomposability of convex bodies, we produce new examples of Banach spaces which contain proper semi-M-ideals. These semi-M-ideals are not hyperplanes, nor are they the direct sums of examples which are hyperplanes.

MSC classification

Secondary: 46B20: Geometry and structure of normed linear spaces

Information

Type
Research Article
Information
Mathematika , Volume 35 , Issue 2 , December 1988 , pp. 190 - 197
Copyright
Copyright © University College London 1988

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