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Statements

Subject Item
n2:RIV%2F00216208%3A11320%2F07%3A00004440%21RIV08-MSM-11320___
rdf:type
skos:Concept n16:Vysledek
dcterms:description
Studujeme (I)-obálky jednotkových koulí v Banachových prostorech s ohledem na extrémní případy (kdy (I)-obálka je celá biduální koule a kdy nepřidá nic). Také uvádíme jednodušší důkaz Jamesovy charakterizace reflexivity. We study the (I)-envelopes of the unit balls of Banach spaces. We show, in particular, that any nonreflexive space can be renormed such that the (I)-envelope of the unit ball is not the whole bidual unit ball. Further, we give a simpler proof of the James' characterization of reflexivity in nonseparable case. We also study the spaces in which the (I)-envelope of the unit ball adds nothing. We study the (I)-envelopes of the unit balls of Banach spaces. We show, in particular, that any nonreflexive space can be renormed such that the (I)-envelope of the unit ball is not the whole bidual unit ball. Further, we give a simpler proof of the James' characterization of reflexivity in nonseparable case. We also study the spaces in which the (I)-envelope of the unit ball adds nothing.
dcterms:title
(I)-envelopes of unit balls and James' characterization of reflexivity (I)-envelopes of unit balls and James' characterization of reflexivity (I)-obálky jednotkových koulí a Jamesova charakterizace reflexivity
skos:prefLabel
(I)-envelopes of unit balls and James' characterization of reflexivity (I)-envelopes of unit balls and James' characterization of reflexivity (I)-obálky jednotkových koulí a Jamesova charakterizace reflexivity
skos:notation
RIV/00216208:11320/07:00004440!RIV08-MSM-11320___
n3:strany
29;40
n3:aktivita
n5:Z n5:P
n3:aktivity
P(GA201/06/0018), Z(MSM0021620839)
n3:cisloPeriodika
1
n3:dodaniDat
n10:2008
n3:domaciTvurceVysledku
n18:8577048
n3:druhVysledku
n11:J
n3:duvernostUdaju
n7:S
n3:entitaPredkladatele
n14:predkladatel
n3:idSjednocenehoVysledku
425414
n3:idVysledku
RIV/00216208:11320/07:00004440
n3:jazykVysledku
n19:eng
n3:klicovaSlova
-envelopes; balls; James'; characterization; reflexivity
n3:klicoveSlovo
n15:balls n15:James%27 n15:-envelopes n15:characterization n15:reflexivity
n3:kodStatuVydavatele
PL - Polská republika
n3:kontrolniKodProRIV
[7F4C8423AE43]
n3:nazevZdroje
Studia Mathematica
n3:obor
n4:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:projekt
n17:GA201%2F06%2F0018
n3:rokUplatneniVysledku
n10:2007
n3:svazekPeriodika
182
n3:tvurceVysledku
Kalenda, Ondřej
n3:zamer
n13:MSM0021620839
s:issn
0039-3223
s:numberOfPages
12
n9:organizacniJednotka
11320