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

Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (5): 568-579.

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

Terán, Pedro, López-Dían, Miguel

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

收稿日期:2001-05-20 修回日期:2001-11-28 出版日期:2002-05-18 发布日期:2002-05-18
基金资助:
the Spanish FPI Grant(98-71701353);the DGES Grant(PB98-1534);the DGESIC Grant(PB97-1286)

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

Terán, Pedro, López-Dían, Miguel

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

Received:2001-05-20 Revised:2001-11-28 Online:2002-05-18 Published:2002-05-18
Supported by:
the Spanish FPI Grant(98-71701353);the DGES Grant(PB98-1534);the DGESIC Grant(PB97-1286)

摘要/Abstract

摘要： A way to extend operators in spaces of continuous functions to spaces of continuous set-valued functions is proposed. This extension is developed through the Steiner selections of the set-valued functions. Their properties and characteristics of the convergence of sequences of operators of this class are studied. In Part Ⅱ of this series some applications to approximation theory will be shown.

中图分类号:

O177.91

Terán;Pedro;L&#;pez-D&#;an;Miguel . SET-VALUED EXTENSION OF OPERATORS VIA STEINER SELECTIONS (Ⅰ)-THEORETICAL RESULTS[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(5): 568-579.

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

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

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