Surjective isometries between function spaces

被引：8

作者：

Miura, Takeshi ^{[1
]}

机构：

[1] Niigata Univ, Fac Sci, Dept Math, Niigata 9502181, Japan

来源：

FUNCTION SPACES IN ANALYSIS | 2015年 / 645卷

关键词：

commutative Banach algebra; function algebra; function space; isometry; isomorphism; uniform algebra; REAL-LINEAR ISOMETRIES; SUBSPACES;

D O I：

10.1090/conm/645/12926

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X be a compact Hausdorff space. We denote by C(X) the Banach space of all continuous complex valued functions on X with respect to the supremum norm. A function space A on X is a normed linear subspace of C(X) that contains the constant function 1 and separates the points of X. We give a necessary and sufficient condition for a surjective distance preserving map between two function spaces be represented by a weighted composition operator.

引用

页码：231 / 239

页数：9

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