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Description
  • We characterize order preserving continuous surjections between compact linearly ordered spaces which admit an averaging operator, together with estimates of the norm of such an operator. This result is used to the study of strengthenings of the separable complementation property in spaces of continuous functions on compact lines. These properties include in particular continuous separable complementation property and existence of a projectional skeleton.
  • We characterize order preserving continuous surjections between compact linearly ordered spaces which admit an averaging operator, together with estimates of the norm of such an operator. This result is used to the study of strengthenings of the separable complementation property in spaces of continuous functions on compact lines. These properties include in particular continuous separable complementation property and existence of a projectional skeleton. (en)
Title
  • Complementation in spaces of continuous functions on compact lines
  • Complementation in spaces of continuous functions on compact lines (en)
skos:prefLabel
  • Complementation in spaces of continuous functions on compact lines
  • Complementation in spaces of continuous functions on compact lines (en)
skos:notation
  • RIV/00216208:11320/12:10127318!RIV13-AV0-11320___
http://linked.open...avai/riv/aktivita
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  • P(IAA100190901), Z(AV0Z10190503), Z(MSM0021620839)
http://linked.open...iv/cisloPeriodika
  • 1
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 128155
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/12:10127318
http://linked.open...riv/jazykVysledku
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  • Projectional skeleton; Continuous separable complementation property; Averaging operator; Compact linearly ordered space (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [AC1C66DAED21]
http://linked.open...i/riv/nazevZdroje
  • Journal of Mathematical Analysis and Applications
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 386
http://linked.open...iv/tvurceVysledku
  • Kalenda, Ondřej
  • Kubis, Wieslaw
http://linked.open...ain/vavai/riv/wos
  • 000295563300021
http://linked.open...n/vavai/riv/zamer
issn
  • 0022-247X
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.jmaa.2011.07.057
http://localhost/t...ganizacniJednotka
  • 11320
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