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Description
  • Je dokázáno, že Banachův prostor X je podprostorem slabě kompaktně generovaného Banachova prostoru když a jen když pro každé .epsilon. > 0 se dá X pokrýt spočetnou třídou omezených uzavřených konvexních a symetrických množin, jejichž slabý* uzávěr v druhém duálu X** leží nejdále v .epsilon. vzdálenosti od X. Z toho dostáváme nový, funkcionálně-analytický důkaz známého faktu, že spojitý obraz Eberleinova kompaktu je Eberleinův. (cs)
  • It is proved that a Banach space X is a subspace of a weakly compactly generated Banach space if and only if, for every .epsilon. > 0, X can be covered by a countable collection of bounded closed convex symmetric sets where the weak* closure in X** of each of them lies within the distance .epsilon. from X. A new short functional-analytic proof of the known result that a continuous image of an Eberlein compact is Eberlein is given as a corollary.
  • It is proved that a Banach space X is a subspace of a weakly compactly generated Banach space if and only if, for every .epsilon. > 0, X can be covered by a countable collection of bounded closed convex symmetric sets where the weak* closure in X** of each of them lies within the distance .epsilon. from X. A new short functional-analytic proof of the known result that a continuous image of an Eberlein compact is Eberlein is given as a corollary. (en)
Title
  • A characterization of subspaces of weakly compactly generated Banach spaces
  • Charakterizace podprostorů slabě kompaktně generovaných Banachových prostorů (cs)
  • A characterization of subspaces of weakly compactly generated Banach spaces (en)
skos:prefLabel
  • A characterization of subspaces of weakly compactly generated Banach spaces
  • Charakterizace podprostorů slabě kompaktně generovaných Banachových prostorů (cs)
  • A characterization of subspaces of weakly compactly generated Banach spaces (en)
skos:notation
  • RIV/67985840:_____/04:00106934!RIV/2005/GA0/A05005/N
http://linked.open.../vavai/riv/strany
  • 457;464
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/01/1198), Z(AV0Z1019905)
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
  • 552835
http://linked.open...ai/riv/idVysledku
  • RIV/67985840:_____/04:00106934
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • subspace of a weakly compactly generated space;Eberlein compact;epsilon-weakly compact set (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [475496109547]
http://linked.open...i/riv/nazevZdroje
  • Journal of London Mathematical Society
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
  • 69
http://linked.open...iv/tvurceVysledku
  • Montesinos, V.
  • Zizler, V.
  • Fabián, Marián
http://linked.open...n/vavai/riv/zamer
issn
  • 0024-6107
number of pages
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