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Glasgow Mathematical Journal (1)

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ULTRAPOWERS AND SUBSPACES OF THE DUAL OF A BANACH SPACE
MANUEL GONZÁLEZ, ANTONIO MARTÍNEZ-ABEJÓN
Journal:

Glasgow Mathematical Journal / Volume 45 / Issue 3 / September 2003

Published online by Cambridge University Press:

10 September 2003, pp. 493-501

Print publication:

September 2003
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For a Banach space $X$ we consider three ways in which a subspace of $X^*$ can represent locally the whole dual space $X^*$. We obtain characterizations in terms of ultrapowers and we study the relationship between the subspaces of $X^*$ and the subspaces of the dual of an ultrapower of $X$.