dc.contributor.author
Kadets, Vladimir
dc.contributor.author
Martín, Miguel
dc.contributor.author
Merí, Javier
dc.contributor.author
Werner, Dirk
dc.date.accessioned
2018-06-08T07:23:53Z
dc.date.available
2014-07-16T09:44:35.968Z
dc.identifier.uri
https://refubium.fu-berlin.de/handle/fub188/17870
dc.identifier.uri
http://dx.doi.org/10.17169/refubium-21590
dc.description.abstract
We show that for spaces with 1-unconditional bases lushness, the alternative
Daugavet property and numerical index 1 are equivalent. In the class of
rearrangement invariant (r.i.) sequence spaces the only examples of spaces
with these properties are C 0, l 1 and l. The only lush r.i. separable
function space on [0,1] is L 1[0,1]; the same space is the only r.i. separable
function space on [0,1] with the Daugavet property over the reals.
de
dc.relation.ispartofseries
urn:nbn:de:kobv:188-fudocsseries000000000226-9
dc.rights.uri
http://www.fu-berlin.de/sites/refubium/rechtliches/Nutzungsbedingungen
dc.subject
numerical index
dc.subject
Daugavet property
dc.subject
rearrangement invariant space
dc.subject.ddc
500 Naturwissenschaften und Mathematik::510 Mathematik
dc.title
Lushness, numerical index 1 and the Daugavet property in rearrangement
invariant spaces
refubium.affiliation
Mathematik und Informatik
de
refubium.affiliation.other
Institut für Mathematik
refubium.mycore.fudocsId
FUDOCS_document_000000020612
refubium.mycore.reportnumber
A /02/2011
refubium.series.issueNumber
Preprints, Serie A: Mathematik
refubium.series.name
Freie Universität Berlin, Fachbereich Mathematik und Informatik
refubium.series.reportNumber
A /02/2011
refubium.mycore.derivateId
FUDOCS_derivate_000000003720
dcterms.accessRights.openaire
open access
