Polynomially continuous operators

被引：0
|
作者：
Joaquín M. Gutiérrez
José G. Llavona
机构：
[1] Universidad Politécnica de Madrid,Departamento de Matemáticas, ETS de Ingenieros Industriales
[2] Universidad Complutense de Madrid,Departamento de Análisis Matemático, Facultad de Matemáticas
来源：
Israel Journal of Mathematics | 1997年 / 102卷
关键词：
Banach Space; American Mathematical Society; Homogeneous Polynomial; Linear Topological Space; Infinite Subset;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A mapping between Banach spaces is said to be polynomially continuous if its restriction to any bounded set is uniformly continuous for the weak polynomial topology. Every compact (linear) operator is polynomially continuous. We prove that every polynomially continuous operator is weakly compact.
引用
收藏
页码：179 / 187
页数：8
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