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·
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.
出处
《应用数学和力学》
CSCD
北大核心
2002年第5期507-517,共11页
Applied Mathematics and Mechanics
基金
西班牙FPI基金资助课题 (98_7170 135 3)
DGES基金资助课题 (PB98_15 34 )
DGESIC基金资助课题 (PB97_12 86)
