RANGE PRESERVING MAPS BETWEEN THE SPACES OF CONTINUOUS FUNCTIONS WITH VALUES IN A LOCALLY CONVEX SPACE

被引：0

作者：

Enami, Yuta ^{[1
]}

机构：

[1] Niigata Univ, Dept Math Sci, Fac Fundamental Sci, Grad Sch Sci & Technol, Niigata 9502181, Japan

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2021年 / 149卷 / 01期

关键词：

Range preserving map; vector-valued function space;

D O I：

10.1090/proc/15108

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let C(X, E) be the linear space of all continuous functions on a compact Hausdorff space X with values in a locally convex space E. We characterize maps T : C(X, E) -> C(Y, E) which satisfy Ran(TF - TG). Ran(F - G) for all F, G is an element of C(X, E).

引用

页码：189 / 197

页数：9

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