On A New Asymptotic Norming Property

Details On A New Asymptotic Norming Property On A New Asymptotic Norming Property

1995-10-16

arxiv.org/abs/math/9510202v1

Mathematics

Functional Analysis

Scientific paper

In this work, we introduce a new Asymptotic Norming Property (ANP) which lies between the strongest and weakest of the existing ones, and obtain isometric characterisations of it. The corresponding w*-ANP turns out to be equivalent on the one hand, to Property $(V)$ introduced by Sullivan, and to a ball separation property on the other. We also study stability properties of this new ANP and its w*-version.

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