About: Flat sets, l(p)-generating and fixing c(0) in the nonseparable setting     Goto   Sponge   NotDistinct   Permalink

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  • 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)). (en)
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 (en)
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 (en)
skos:notation
  • RIV/67985840:_____/09:00336577!RIV10-AV0-67985840
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/07/0394), P(IAA100190610), Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika
  • 2
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 315199
http://linked.open...ai/riv/idVysledku
  • RIV/67985840:_____/09:00336577
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/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 (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • AU - Australské společenství
http://linked.open...ontrolniKodProRIV
  • [229CFFF991A6]
http://linked.open...i/riv/nazevZdroje
  • Journal of the Australian Mathematical Society Series A-Pure Mathematics and Statistics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 87
http://linked.open...iv/tvurceVysledku
  • Zizler, Václav
  • Fabian, Marián
  • Gonzáles, A.
http://linked.open...ain/vavai/riv/wos
  • 000271249500005
http://linked.open...n/vavai/riv/zamer
issn
  • 1446-7887
number of pages
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