This is an announcement for the paper "The almost Daugavet property and translation-invariant subspaces" by Simon Lucking.

Abstract: Let $G$ be a metrizable, compact abelian group and let $\Lambda$ be a subset of its dual group $\widehat G$. 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.

Archive classification: math.FA

Mathematics Subject Classification: 46B04, 43A46

Remarks: 12 pages

Submitted from: simon.luecking@fu-berlin.de

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1307.3629

or

http://arXiv.org/abs/1307.3629