The almost Daugavet property and translation-invariant subspaces

• Autorzy: Simon Lücking
• Języki publikacji: EN

Abstrakty

EN

Let G be a metrizable, compact abelian group and let Λ be a subset of its dual group Ĝ. We show that $C_{Λ}(G)$ has the almost Daugavet property if and only if Λ is an infinite set, and that $L¹_{Λ}(G)$ has the almost Daugavet property if and only if Λ is not a Λ(1) set.

Kategorie tematyczne

• 46B04: Isometric theory of Banach spaces
• 43A46: Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2014
• Tom: 134
• Numer: 2
• Strony: 151-163

Daty

wydano

2014

Twórcy

autor

Simon Lücking

• Department of Mathematics, Freie Universität Berlin, Arnimallee 6, 14195 Berlin, Germany

Identyfikatory

DOI

10.4064/cm134-2-1