Generalized first class selectors for upper semi-continuous set-valued maps in Banach spaces

被引：1

作者：

Hansell, RW ^{[1
]}

Oncina, L

机构：

[1] Univ Connecticut, Dept Math, Storrs, CT 06269 USA

[2] Univ Murcia, Dept Matemat, Murcia 30100, Spain

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2005年 / 55卷 / 01期

关键词：

measurable selectors; upper semi-continuous maps; point of continuity property;

D O I：

10.1007/s10587-005-0010-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we deal with weakly upper semi-continuous set-valued maps, taking arbitrary non-empty values, from a non-metric domain to a Banach space. We obtain selectors having the point of continuity property relative to the norm topology for a large class of compact spaces as a domain. Exact conditions under which the selector is of the first Borel class are also investigated.

引用

页码：145 / 155

页数：11

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