English

On A New Asymptotic Norming Property

Functional Analysis 2016-09-06 v1

Abstract

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)(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.

Keywords

Cite

@article{arxiv.math/9510202,
  title  = {On A New Asymptotic Norming Property},
  author = {Pradipta Bandyopadhyay and Sudeshna Basu},
  journal= {arXiv preprint arXiv:math/9510202},
  year   = {2016}
}
R2 v1 2026-07-22T17:55:49.414Z