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On the reciprocal Dunford-Pettis property in projective tensor products

  • G. Emmanuele (a1)
Abstract
Abstract

We prove the following result: if a Banach space E does not contain l1 and F has the (RDPP), then EnF has the same property, provided that L(E, F*) = K(E, F*). Hence we prove that if En 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*).

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Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
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