Extension of operators on spaces of vector-valued continuous functions

被引：1

作者：

Nowak, Marian ^{[1
]}

机构：

[1] Univ Zielona Gora, Fac Math Comp Sci & Econometr, Ul Szafrana 4A, PL-65516 Zielona Gora, Poland

来源：

INDAGATIONES MATHEMATICAE-NEW SERIES | 2016年 / 27卷 / 01期

关键词：

Spaces of vector-valued continuous functions; Strict topologies; Vector measures; Integration operators; TOPOLOGIES;

D O I：

10.1016/j.indag.2015.07.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X be a completely regular Hausdorff space and let Ba stand for the Baire sigma-algebra of sets in X. For a Banach space E let C-rc(X, E) be the space of all continuous functions f : X -> E such that f (X) is a relatively compact set in E, and let B(Ba, E) be the space of all totally Ba-measurable functions f : X -> E. For a Banach space Y we study the problem of extension of some natural classes of bounded linear operators T : C-rc(X, E) -> Y to operators (T) over bar : B(Ba, E) -> Y. (C) 2015 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.

引用

页码：20 / 28

页数：9

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