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.
@article{bwmeta1.element.bwnjournal-article-smv100i2p109bwm,
author = {Ehrhard Behrends},
title = {On the principle of local reflexivity},
journal = {Studia Mathematica},
volume = {100},
year = {1991},
pages = {109-128},
zbl = {0757.46018},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv100i2p109bwm}
}
Behrends, Ehrhard. On the principle of local reflexivity. Studia Mathematica, Tome 100 (1991) pp. 109-128. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv100i2p109bwm/
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