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Characterisation of the weak-star symmetric strong diameter 2 property in Lipschitz spaces

Functional Analysis 2019-08-28 v1

Abstract

We give a characterisation of the weak* symmetric strong diameter 2 property for Lipschitz function spaces in terms of a property of the corresponding metric space. Using this characterisation we show that the weak* symmetric strong diameter 2 property is different from the weak* strong diameter 2 property in Lipschitz spaces, thereby answering a question posed in a recent paper by Haller, Langemets, Lima, and Nadel.

Keywords

Cite

@article{arxiv.1908.10348,
  title  = {Characterisation of the weak-star symmetric strong diameter 2 property in Lipschitz spaces},
  author = {Andre Ostrak},
  journal= {arXiv preprint arXiv:1908.10348},
  year   = {2019}
}

Comments

11 pages, 2 figures