ULTRAPOWERS AND SUBSPACES OF THE DUAL OF A BANACH SPACE
Published online by Cambridge University Press: 10 September 2003
Abstract
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 $X$.
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- © 2003 Glasgow Mathematical Journal Trust
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