Centro de Investigación en Matemáticas (CIMAT), Apdo. Postal 402, 36000 Guanajuato, GTO, Mexico
Academic Editor: Mohamed A. Khamsi
Copyright © 2010 Helga Fetter and Berta Gamboa de Buen. This is an open access article distributed under the
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We will use
García-Falset and Lloréns
Fuster's paper on the AMC-property to prove that a
Banach space that embeds in a subspace of a Banach space with a 1-unconditional basis has the property AMC and thus the weak fixed point property. We will apply this to
some results by Cowell and Kalton to prove that every reflexive real Banach space with the property and its dual have the and that a real Banach space such that is sequentially compact and has has the .