COMPACT AND WEAKLY COMPACT DISJOINTNESS PRESERVING OPERATORS ON SPACES OF DIFFERENTIABLE FUNCTIONS

被引：0

作者：

Leung, Denny H. ^{[1
]}

Wang, Ya-Shu ^{[2
]}

机构：

[1] Natl Univ Singapore, Dept Math, Singapore 119076, Singapore

[2] Natl Cent Univ, Dept Math, Chungli 32054, Taiwan

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2013年 / 365卷 / 03期

关键词：

AUTOMATIC-CONTINUITY; BISEPARATING MAPS; ALGEBRAS; HOMOMORPHISMS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A pair of functions defined on a set X with values in a vector space E is said to be disjoint if at least one of the functions takes the value 0 at every point in X. An operator acting between vector-valued function spaces is disjointness preserving if it maps disjoint functions to disjoint functions. We characterize compact and weakly compact disjointness preserving operators between spaces of Banach space-valued differentiable functions.

引用

页码：1251 / 1276

页数：26

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