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Statements

Subject Item
n2:RIV%2F00216208%3A11320%2F11%3A10105543%21RIV12-GA0-11320___
rdf:type
skos:Concept n11:Vysledek
dcterms:description
We prove that there exists a weakly closed and bounded subset E of c_0 which is not remotal from 0, and such that the closed convex hull of E is remotal from 0. This answers a question of M. Martin and T.S.S.R.K. Rao. We also present a simple proof of the fact that in every non-reflexive Banach space there exists a closed convex bounded set which is not remotal. We prove that there exists a weakly closed and bounded subset E of c_0 which is not remotal from 0, and such that the closed convex hull of E is remotal from 0. This answers a question of M. Martin and T.S.S.R.K. Rao. We also present a simple proof of the fact that in every non-reflexive Banach space there exists a closed convex bounded set which is not remotal.
dcterms:title
Two remarks on remotality Two remarks on remotality
skos:prefLabel
Two remarks on remotality Two remarks on remotality
skos:notation
RIV/00216208:11320/11:10105543!RIV12-GA0-11320___
n11:predkladatel
n12:orjk%3A11320
n5:aktivita
n14:P
n5:aktivity
P(GA201/07/0388)
n5:cisloPeriodika
3
n5:dodaniDat
n9:2012
n5:domaciTvurceVysledku
n17:2515571
n5:druhVysledku
n15:J
n5:duvernostUdaju
n6:S
n5:entitaPredkladatele
n13:predkladatel
n5:idSjednocenehoVysledku
236348
n5:idVysledku
RIV/00216208:11320/11:10105543
n5:jazykVysledku
n8:eng
n5:klicovaSlova
remotal sets
n5:klicoveSlovo
n20:remotal%20sets
n5:kodStatuVydavatele
US - Spojené státy americké
n5:kontrolniKodProRIV
[BDD507AD0BCB]
n5:nazevZdroje
Journal of Approximation Theory
n5:obor
n19:BA
n5:pocetDomacichTvurcuVysledku
1
n5:pocetTvurcuVysledku
1
n5:projekt
n18:GA201%2F07%2F0388
n5:rokUplatneniVysledku
n9:2011
n5:svazekPeriodika
163
n5:tvurceVysledku
Kraus, Michal
n5:wos
000287910600001
s:issn
0021-9045
s:numberOfPages
4
n16:doi
10.1016/j.jat.2010.10.004
n7:organizacniJednotka
11320