The almost Daugavet property and translation-invariant subspaces

Simon Lücking

The almost Daugavet property and translation-invariant subspaces

Functional Analysis 2014-06-05 v1

Authors: Simon Lücking

Abstract

Let $G$ be a metrizable, compact abelian group and let $\Lambda$ be a subset of its dual group $\hat G$ . We show that $C_\Lambda(G)$ has the almost Daugavet property if and only if $\Lambda$ is an infinite set, and that $L^1_\Lambda(G)$ has the almost Daugavet property if and only if $\Lambda$ is not a $\Lambda(1)$ set.

Keywords

almost daugavet property translation-invariant subspaces compact abelian groups dual group lambda(1) sets

Cite

@article{arxiv.1307.3629,
  title  = {The almost Daugavet property and translation-invariant subspaces},
  author = {Simon Lücking},
  journal= {arXiv preprint arXiv:1307.3629},
  year   = {2014}
}

Comments

12 pages

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