PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

The almost Daugavet property and translation-invariant subspaces

Volume 134 / 2014

Simon Lücking Colloquium Mathematicum 134 (2014), 151-163 MSC: Primary 46B04; Secondary 43A46. DOI: 10.4064/cm134-2-1

Abstract

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.

Authors

  • Simon LückingDepartment of Mathematics
    Freie Universität Berlin
    Arnimallee 6
    14195 Berlin, Germany
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image