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On Geometry of Banach Spaces with Property α

✍ Scribed by J.P. Moreno

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
138 KB
Volume
201
Category
Article
ISSN
0022-247X

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✦ Synopsis

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 and, therefore, these spaces should contain almost isometric copies of spaces of l q -type. Further 1 geometrical results on Banach spaces with both properties are also obtained.

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