Czasopismo
Tytuł artykułu
Warianty tytułu
Języki publikacji
Abstrakty
We present a characterization of continuous surjections, between compact metric spaces, admitting a regular averaging operator. Among its consequences, concrete continuous surjections from the Cantor set 𝓒 to [0,1] admitting regular averaging operators are exhibited. Moreover we show that the set of this type of continuous surjections from 𝓒 to [0,1] is dense in the supremum norm in the set of all continuous surjections. The non-metrizable case is also investigated. As a consequence, we obtain a new characterization of Eberlein compact sets.
Słowa kluczowe
Kategorie tematyczne
- 46E15: Banach spaces of continuous, differentiable or analytic functions
- 54C55: Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties)
- 28B20: Set-valued set functions and measures; integration of set-valued functions; measurable selections
Czasopismo
Rocznik
Tom
Numer
Strony
207-226
Opis fizyczny
Daty
wydano
2002
Twórcy
autor
- Department of Mathematics, National Technical University of Athens, 15780 Athens, Greece
autor
- Department of Mathematics, University of Athens, Panepistimiopolis, 15784 Athens, Greece
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-sm151-3-2