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Complementation in spaces of continuous functions on compact lines
- 1.0364830 - MÚ 2012 RIV US eng J - Journal Article
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. E-ISSN 1096-0813
R&D Projects: GA AV ČR IAA100190901
Institutional research plan: CEZ:AV0Z10190503
Keywords : compact linearly ordered space * averagign operator * continuous separable complementation property * projectional skeleton
Subject RIV: BA - General Mathematics
Impact factor: 1.050, year: 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.
Permanent Link: http://hdl.handle.net/11104/0200208
Number of the records: 1