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On a new geometric property for Banach spaces

✍ Scribed by Rao, T. S. S. R. K.

Publisher: Springer-Verlag
Year: 1997
Tongue: English
Weight: 401 KB
Volume: 107
Category: Article
ISSN: 0370-0089
DOI: 10.1007/bf02840472

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W. Schachermayer showed that even 1-complemented subspaces of Banach spaces with property ␣ can fail this property. However, we prove in this paper that spaces with property ␣ satisfy an hereditary property. We obtain, as a conse-Ž . quence, that spaces with properties ␣ and H cannot be reflexive an