The almost Daugavet property and translation-invariant subspaces

Simon Lücking. "The almost Daugavet property and translation-invariant subspaces." Colloquium Mathematicae 134.2 (2014): 151-163. <http://eudml.org/doc/284170>.

@article{SimonLücking2014,
abstract = {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.},
author = {Simon Lücking},
journal = {Colloquium Mathematicae},
keywords = {almost Daugavet property; Daugavet property; -embedded space; thickness of a Banach space; translation-invariant subspace},
language = {eng},
number = {2},
pages = {151-163},
title = {The almost Daugavet property and translation-invariant subspaces},
url = {http://eudml.org/doc/284170},
volume = {134},
year = {2014},
}

TY - JOUR
AU - Simon Lücking
TI - The almost Daugavet property and translation-invariant subspaces
JO - Colloquium Mathematicae
PY - 2014
VL - 134
IS - 2
SP - 151
EP - 163
AB - 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.
LA - eng
KW - almost Daugavet property; Daugavet property; -embedded space; thickness of a Banach space; translation-invariant subspace
UR - http://eudml.org/doc/284170
ER -