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  • We give a short and direct proof for the computation of the Szlenk index of the C(K) spaces, when K is a countable compact space and determine their Lavrientiev indices. We also compute the Szlenk index of certain C (.alpha.) spaces, where .alpha. is an uncountable ordinal. Finally, we show that if the Szlenk index of a Banach space is .omega. (first infinite ordinal), then its weak*-dentability index is at most .omega.2 and that this estimate is optimal.
  • We give a short and direct proof for the computation of the Szlenk index of the C(K) spaces, when K is a countable compact space and determine their Lavrientiev indices. We also compute the Szlenk index of certain C (.alpha.) spaces, where .alpha. is an uncountable ordinal. Finally, we show that if the Szlenk index of a Banach space is .omega. (first infinite ordinal), then its weak*-dentability index is at most .omega.2 and that this estimate is optimal. (en)
  • Je proveden nový jednoduchý výpočet Szlenkova indexu pro C (.alpha.) prostory. (cs)
Title
  • Various Slicing Indices on Banach Spaces
  • Různé ordinární indexy na Banachových prostorech (cs)
  • Various Slicing Indices on Banach Spaces (en)
skos:prefLabel
  • Various Slicing Indices on Banach Spaces
  • Různé ordinární indexy na Banachových prostorech (cs)
  • Various Slicing Indices on Banach Spaces (en)
skos:notation
  • RIV/67985840:_____/07:00094794!RIV08-AV0-67985840
http://linked.open.../vavai/riv/strany
  • 179;190
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/04/0090), Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika
  • 1
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 457567
http://linked.open...ai/riv/idVysledku
  • RIV/67985840:_____/07:00094794
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Szlenk index; Banach space; Lavrientiev index (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CH - Švýcarská konfederace
http://linked.open...ontrolniKodProRIV
  • [3A144B6F5424]
http://linked.open...i/riv/nazevZdroje
  • Mediterranean Journal of Mathematics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
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http://linked.open...vavai/riv/projekt
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http://linked.open...v/svazekPeriodika
  • 4
http://linked.open...iv/tvurceVysledku
  • Hájek, Petr Pavel
  • Lancien, G.
http://linked.open...n/vavai/riv/zamer
issn
  • 1660-5446
number of pages
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