Linear operators on the space of bounded continuous functions with strict topologies

被引：3

作者：

Nowak, Marian ^{[1
]}

机构：

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

来源：

POSITIVITY | 2010年 / 14卷 / 04期

关键词：

Space of bounded continuous functions; Strict topologies; Baire measures; sigma-Dini topologies; Weakly compact operators; Yosida-Hewitt decomposition; Generalized DF-space; WEAKLY COMPACT-OPERATORS; DECOMPOSITION;

D O I：

10.1007/s11117-010-0068-6

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 C (b) (X) denote the Banach space of all real-valued bounded continuous functions on X. We study linear operators from C (b) (X) provided with the strict topology beta (sigma) to a Banach space (E, parallel to center dot parallel to(E)). In particular, we derive a Yosida-Hewitt type decomposition for weakly compact operator from C-b (X) to E.

引用

页码：831 / 839

页数：9

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