Extension conditions for bounded linear and sublinear operators with values in lindenstrauss spaces

被引：0

作者：

Yu. É. Linke

机构：

[1] Institute for System Dynamics and Control Theory,

来源：

Siberian Mathematical Journal | 2010年 / 51卷

关键词：

linear operator; sublinear operator; extension of operators; affine mapping; subdifferential; multivalued mapping; Lindenstrauss space;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We find extension conditions for linear and sublinear operators with values in four classes of spaces: the spaces of continuous functions on a compact set, Lindenstrauss spaces, and their separable parts. We prove that in all these cases the extension property for linear operators implies the extension property for sublinear operators, while in separable spaces the two properties are equivalent.

引用

页码：1061 / 1074

页数：13