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On the principle of local reflexivity

Volume 100 / 1991

Ehrhard Behrends Studia Mathematica 100 (1991), 109-128 DOI: 10.4064/sm-100-2-109-128

Abstract

We prove a version of the local reflexivity theorem which is, in a sense, the most general one: our main theorem characterizes the conditions which can be imposed additionally on the usual local reflexivity map provided that these conditions are of a certain general type. It is then shown how known and new local reflexivity theorems can be derived. In particular, the compatibility of the local reflexivity map with subspaces and operators is investigated.

Authors

  • Ehrhard Behrends

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