SET-VALUED EXTENSION OF OPERATORS VIA STEINER SELECTIONS (Ⅰ)-THEORETICAL RESULTS

A way to extend operators in spaces of continuous functions to spaces ofcontinuous set-valued functions is proposed. This extension is developed through the Steinerselections of the set-valued functions. Their properties and characteristics of theconvergence of sequences of operators of this class a...

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Bibliographic Details
Published in:Applied mathematics and mechanics 2002-05, Vol.23 (5), p.568-579
Main Author: Ter(a)n,Pedro L(o)pez-D(I)an,Miguel
Format: Article
Language:English
Subjects:
extension
operator
selection
set-valued
steiner
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Summary:A way to extend operators in spaces of continuous functions to spaces ofcontinuous set-valued functions is proposed. This extension is developed through the Steinerselections of the set-valued functions. Their properties and characteristics of theconvergence of sequences of operators of this class are studied. In Part Ⅱ of this seriessome applications to approximation theory will be shown.
ISSN:0253-4827
1573-2754
DOI:10.1007/BF02437775