On conditions under which local isometries are motions
W. A. Kirk (1971)
Colloquium Mathematicae
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Displaying similar documents to “On local isometries and isometries in metric spaces”
On conditions under which local isometries are motions
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We study the local dual spaces of a Banach space X, which can be described as the subspaces of X* that have the properties that the principle of local reflexivity attributes to X as a subspace of X**. We give several characterizations of local dual spaces, which allow us to show many examples. Moreover, every separable space X has a separable local dual Z, and we can choose Z with the metric approximation property if X has it. We also show that a separable space containing...