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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___
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  • P(IAA100190901), Z(AV0Z10190503), Z(MSM0021620839)
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  • 1
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  • 128155
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  • RIV/00216208:11320/12:10127318
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  • Projectional skeleton; Continuous separable complementation property; Averaging operator; Compact linearly ordered space (en)
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  • US - Spojené státy americké
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  • [AC1C66DAED21]
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  • Journal of Mathematical Analysis and Applications
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  • 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
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  • 11320
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