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Statements

Subject Item
n2:RIV%2F67985840%3A_____%2F09%3A00336577%21RIV10-AV0-67985840
rdf:type
n14:Vysledek skos:Concept
dcterms:description
In terms of uniform weak* Kadec-Klee asymptotic smoothnes, and use these concepts to characterize weakly compactly generated (Asplund) spaces that are c(0)(omega(1))-generated or l(p)(omega(1))-generated, where p is an element of (1, infinity) In particular, we show that every subspace of c(0)(omega(1)) is c(0)(omega(1))-generated and every subspce of l(p)(omega(1)) is l(p)(omega(1))-generated for every p is an element of (1, infinity). As a byproduct of the technology of projectional resolutions of the identity we get an alternative proof of Rosenthal's theorem on fixing c(0)(omega(1)). In terms of uniform weak* Kadec-Klee asymptotic smoothnes, and use these concepts to characterize weakly compactly generated (Asplund) spaces that are c(0)(omega(1))-generated or l(p)(omega(1))-generated, where p is an element of (1, infinity) In particular, we show that every subspace of c(0)(omega(1)) is c(0)(omega(1))-generated and every subspce of l(p)(omega(1)) is l(p)(omega(1))-generated for every p is an element of (1, infinity). As a byproduct of the technology of projectional resolutions of the identity we get an alternative proof of Rosenthal's theorem on fixing c(0)(omega(1)).
dcterms:title
Flat sets, l(p)-generating and fixing c(0) in the nonseparable setting Flat sets, l(p)-generating and fixing c(0) in the nonseparable setting
skos:prefLabel
Flat sets, l(p)-generating and fixing c(0) in the nonseparable setting Flat sets, l(p)-generating and fixing c(0) in the nonseparable setting
skos:notation
RIV/67985840:_____/09:00336577!RIV10-AV0-67985840
n3:aktivita
n13:P n13:Z
n3:aktivity
P(GA201/07/0394), P(IAA100190610), Z(AV0Z10190503)
n3:cisloPeriodika
2
n3:dodaniDat
n15:2010
n3:domaciTvurceVysledku
n9:6345328 n9:9598227
n3:druhVysledku
n10:J
n3:duvernostUdaju
n16:S
n3:entitaPredkladatele
n17:predkladatel
n3:idSjednocenehoVysledku
315199
n3:idVysledku
RIV/67985840:_____/09:00336577
n3:jazykVysledku
n4:eng
n3:klicovaSlova
Lipschitz-weak*-Kadets-Klee norm; c(0)(Gamma)-generated space; l(p)(Gamma)-generated space; weakly compactly generated space; asymptotically p-flat set; innerly asymptotically p-flat set
n3:klicoveSlovo
n7:Lipschitz-weak%2A-Kadets-Klee%20norm n7:c%280%29%28Gamma%29-generated%20space n7:weakly%20compactly%20generated%20space n7:l%28p%29%28Gamma%29-generated%20space n7:asymptotically%20p-flat%20set n7:innerly%20asymptotically%20p-flat%20set
n3:kodStatuVydavatele
AU - Australské společenství
n3:kontrolniKodProRIV
[229CFFF991A6]
n3:nazevZdroje
Journal of the Australian Mathematical Society Series A-Pure Mathematics and Statistics
n3:obor
n18:BA
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
3
n3:projekt
n5:IAA100190610 n5:GA201%2F07%2F0394
n3:rokUplatneniVysledku
n15:2009
n3:svazekPeriodika
87
n3:tvurceVysledku
Zizler, Václav Fabian, Marián Gonzáles, A.
n3:wos
000271249500005
n3:zamer
n8:AV0Z10190503
s:issn
1446-7887
s:numberOfPages
13