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  • We study the notion of (I)-generating introduced by V. Fonf and J. Lindendstrauss and a related notion of (I)-envelope. As a consequence of our results we get an easy proof of the James characterization of weak compactness in Banach spaces with weak* angelic dual unit ball and an easy proof of the James characterization of reflexivity within a large class of spaces. We also show by an example that the general James theorem cannot be proved by this method.
  • We study the notion of (I)-generating introduced by V. Fonf and J. Lindendstrauss and a related notion of (I)-envelope. As a consequence of our results we get an easy proof of the James characterization of weak compactness in Banach spaces with weak* angelic dual unit ball and an easy proof of the James characterization of reflexivity within a large class of spaces. We also show by an example that the general James theorem cannot be proved by this method. (en)
  • Studujeme pojem (I)-generování zavedený V.Fonfem a J.Lindenstraussem a související pojem (I)-obálky. Dostáváme snadný důkaz Jamesovy věty pro prostory s w*-andělskou duální koulí. Na příkladu ukazujeme, že takto nelze snadno dokázat obecnou Jamesovu větu. (cs)
Title
  • (I)-envelopes of closed convex sets in Banach spaces
  • (I)-envelopes of closed convex sets in Banach spaces (en)
  • (I)-obálky uzavřených konvexních množin v Banachových prostorech (cs)
skos:prefLabel
  • (I)-envelopes of closed convex sets in Banach spaces
  • (I)-envelopes of closed convex sets in Banach spaces (en)
  • (I)-obálky uzavřených konvexních množin v Banachových prostorech (cs)
skos:notation
  • RIV/00216208:11320/07:00004255!RIV08-MSM-11320___
http://linked.open.../vavai/riv/strany
  • 157;181
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/06/0018), Z(MSM0021620839)
http://linked.open...iv/cisloPeriodika
  • 1
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
  • 425413
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/07:00004255
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • -envelopes; closed; convex; Banach; spaces (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • IL - Stát Izrael
http://linked.open...ontrolniKodProRIV
  • [AE5343A65AC5]
http://linked.open...i/riv/nazevZdroje
  • Israel Journal of Mathematics
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
  • 162
http://linked.open...iv/tvurceVysledku
  • Kalenda, Ondřej
http://linked.open...n/vavai/riv/zamer
issn
  • 0021-2172
number of pages
http://localhost/t...ganizacniJednotka
  • 11320
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