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Projective tensor products and the Dunford–Pettis property

Published online by Cambridge University Press:  17 April 2009

Stephen P. Stehle
Stephen P. Stehle
Affiliation:
Mathematical Sciences, Akron UnivAkron, Ohio 44325, United States of America
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Abstract

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We show the existence, in c0 ⊗γc0, of a shrinking, subsymmetric basic sequence (zi) having no c0 subsequences. In particular, the coefficient functionals for (zi) are weakly null and the subspace fails to have the Dunford-Pettis property.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 37 , Issue 1 , February 1988 , pp. 107 - 111
Copyright
Copyright © Australian Mathematical Society 1988

References

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