Geodesic
The almost Daugavet property and translation-invariant subspaces
Simon Lücking1
1 Department of Mathematics Freie Universität Berlin Arnimallee 6 14195 Berlin, Germany
Colloquium Mathematicum, Tome 134 (2014) no. 2, pp. 151-163.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let $G$ be a metrizable, compact abelian group and let $\varLambda$ be a subset of its dual group $\widehat G$. We show that $C_\varLambda(G)$ has the almost Daugavet property if and only if $\varLambda$ is an infinite set, and that $L^1_\varLambda(G)$ has the almost Daugavet property if and only if $\varLambda$ is not a $\varLambda(1)$ set.
DOI : 10.4064/cm134-2-1
Keywords: metrizable compact abelian group varlambda subset its dual group widehat varlambda has almost daugavet property only varlambda infinite set varlambda has almost daugavet property only varlambda varlambda set

Simon Lücking 1

1 Department of Mathematics Freie Universität Berlin Arnimallee 6 14195 Berlin, Germany 
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Simon Lücking. The almost Daugavet property and translation-invariant subspaces. Colloquium Mathematicum, Tome 134 (2014) no. 2, pp. 151-163. doi : 10.4064/cm134-2-1. http://geodesic.mathdoc.fr/articles/10.4064/cm134-2-1/

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