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Statements

Subject Item
n2:RIV%2F00216208%3A11320%2F11%3A10099052%21RIV12-AV0-11320___
rdf:type
n10:Vysledek skos:Concept
dcterms:description
We consider several quantities related to weak sequential completeness of a Banach space and prove some of their properties in general and in L-embedded Banach spaces, improving in particular an inequality of G. Godefroy, N. Kalton and D. Li. We show some examples witnessing natural limits of our positive results, in particular, we construct a separable Banach space X with the Schur property that cannot be renormed to have a certain quantitative form of weak sequential completeness, thus providing a partial answer to a question of G. Godefroy. We consider several quantities related to weak sequential completeness of a Banach space and prove some of their properties in general and in L-embedded Banach spaces, improving in particular an inequality of G. Godefroy, N. Kalton and D. Li. We show some examples witnessing natural limits of our positive results, in particular, we construct a separable Banach space X with the Schur property that cannot be renormed to have a certain quantitative form of weak sequential completeness, thus providing a partial answer to a question of G. Godefroy.
dcterms:title
On quantification of weak sequential completeness On quantification of weak sequential completeness
skos:prefLabel
On quantification of weak sequential completeness On quantification of weak sequential completeness
skos:notation
RIV/00216208:11320/11:10099052!RIV12-AV0-11320___
n10:predkladatel
n13:orjk%3A11320
n4:aktivita
n11:Z n11:P
n4:aktivity
P(IAA100190901), Z(MSM0021620839)
n4:cisloPeriodika
10
n4:dodaniDat
n6:2012
n4:domaciTvurceVysledku
n14:3116085 n14:8577048
n4:druhVysledku
n16:J
n4:duvernostUdaju
n9:S
n4:entitaPredkladatele
n19:predkladatel
n4:idSjednocenehoVysledku
218113
n4:idVysledku
RIV/00216208:11320/11:10099052
n4:jazykVysledku
n18:eng
n4:klicovaSlova
Quantitative versions of weak sequential completeness; L-embedded Banach space; Weakly sequentially complete Banach space
n4:klicoveSlovo
n7:Weakly%20sequentially%20complete%20Banach%20space n7:L-embedded%20Banach%20space n7:Quantitative%20versions%20of%20weak%20sequential%20completeness
n4:kodStatuVydavatele
US - Spojené státy americké
n4:kontrolniKodProRIV
[2D7F5C3F133C]
n4:nazevZdroje
Journal of Functional Analysis
n4:obor
n20:BA
n4:pocetDomacichTvurcuVysledku
2
n4:pocetTvurcuVysledku
3
n4:projekt
n8:IAA100190901
n4:rokUplatneniVysledku
n6:2011
n4:svazekPeriodika
260
n4:tvurceVysledku
Kalenda, Ondřej Pfitzner, Hermann Spurný, Jiří
n4:wos
000288308200006
n4:zamer
n15:MSM0021620839
s:issn
0022-1236
s:numberOfPages
11
n17:doi
10.1016/j.jfa.2011.02.006
n21:organizacniJednotka
11320