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THE GEOMETRY OF CONVEX TRANSITIVE BANACH SPACES

Published online by Cambridge University Press:  01 May 1999

JULIO BECERRA GUERRERO  and
ANGEL RODRIGUEZ PALACIOS
JULIO BECERRA GUERRERO
Affiliation:
Universidad de Granada, Facultad de Ciencias, Departamento de Análisis Matemático, 18071-Granada, Spain
ANGEL RODRIGUEZ PALACIOS
Affiliation:
Universidad de Granada, Facultad de Ciencias, Departamento de Análisis Matemático, 18071-Granada, Spain
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Abstract

Throughout this paper, X will denote a Banach space, S=S(X) and B=B(X) will be the unit sphere and the closed unit ball of X, respectively, and [Gscr ]=[Gscr ](X) will stand for the group of all surjective linear isometries on X. Unless explicitly stated otherwise, all Banach spaces will be assumed to be real. Nevertheless, by passing to real structures, the results remain true for complex spaces.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 31 , Issue 3 , May 1999 , pp. 323 - 331
Copyright
© The London Mathematical Society 1999

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