Article contents
On the reciprocal Dunford-Pettis property in projective tensor products
Published online by Cambridge University Press: 24 October 2008
Abstract
We prove the following result: if a Banach space E does not contain l1 and F has the (RDPP), then E ⊗nF has the same property, provided that L(E, F*) = K(E, F*). Hence we prove that if E ⊗n F has the (RDPP) then at least one of the spaces E and F must not contain l1. Some corollaries are then presented as well as results concerning the necessity of the hypothesis L(E, F*) = K(E, F*).
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 109 , Issue 1 , January 1991 , pp. 161 - 166
- Copyright
- Copyright © Cambridge Philosophical Society 1991
References
REFERENCES
- 8
- Cited by