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Bulletin of the London Mathematical Society Advance Access originally published online on September 25, 2007
Bulletin of the London Mathematical Society 2007 39(6):1039-1044; doi:10.1112/blms/bdm077
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© 2007 London Mathematical Society

Separable L-embedded Banach spaces are unique preduals

Hermann Pfitzner

Département de mathématiques
Université d’Orléans
BP 6759
F-45067, Orléans Cedex 2
France

Received 30 June 2006. Revision received 18 May 2007.

In this note the following is proved. Separable L-embedded spaces – that is separable Banach spaces which are complemented in their biduals and such that the norm between the two complementary subspaces is additive – have property Formula which, by a result of Godefroy and Talagrand, entails uniqueness of the space as a predual.

Correspondence: hermann.pfitzner{at}univ-orleans.fr

2000 Mathematics Subject Classification 46B20.


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