Počet záznamů: 1

Complementation in spaces of continuous functions on compact lines

  1. 1.
    0364830 - MU-W 2012 RIV US eng J - Článek v odborném periodiku
    Kalenda, O.F.K. - Kubiś, Wieslaw
    Complementation in spaces of continuous functions on compact lines.
    Journal of Mathematical Analysis and Applications. Roč. 386, č. 1 (2012), s. 241-257 ISSN 0022-247X
    Grant CEP: GA AV ČR IAA100190901
    Výzkumný záměr: CEZ:AV0Z10190503
    Klíčová slova: compact linearly ordered space * averagign operator * continuous separable complementation property * projectional skeleton
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 1.050, rok: 2012
    http://www.sciencedirect.com/science/article/pii/S0022247X11007128

    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.
    Trvalý link: http://hdl.handle.net/11104/0200208
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