Steiner选择和算子的集值扩张(Ⅰ)——理论结果

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基金项目: 西班牙FPI基金资助课题(98-71701353);DGES基金资助课题(PB98-1534);DGESIC基金资助课题(PB97-1286)

Set-Valued Extension of Operators via Steiner Selections(Ⅰ)-Theoretical Results

Facultad de Ciencias, Universidad de Oviedo, C/Calvo Sotelo, s/n 33007 Oviedo Spain

摘要: 提出了一种从连续函数空间到连续集值函数空间中扩张算子的方法.这种扩张是通过Steiner集值函数选择法得到的.此外,还研究了其性质及该类算子序列的收敛特性.在文章的第(Ⅱ)部分,还将给出在逼近理论中的一些应用.
- 集值扩张 /
- Steiner选择 /
- 算子
Abstract: A way to extend operators in spaces of continuo us functions to spaces of continuo us set-valued functions is proposed.This extension is developed through the Steiner selections of the set-valued functions.Their properties and chara cteristics of the convergence of sequences of operators of this class are studied.In Part ò of this series some applications to approximation theory will be shown.
- set-valued extension /
- steiner selection /
- operator

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