Local isometries of function spaces

被引：25

作者：

Jarosz, K ^{[1
]}

Rao, TSSRK

机构：

[1] So Illinois Univ, Edwardsville, IL 62026 USA

[2] RV Coll Post, Indian Stat Inst, Bangalore 560059, Karnataka, India

来源：

MATHEMATISCHE ZEITSCHRIFT | 2003年 / 243卷 / 03期

关键词：

D O I：

10.1007/s00209-002-0452-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that for a large class of function spaces any isometry that coincides locally with a surjective isometry must be automatically surjective. This class includes finite-codimensional subspaces of C (X) and spaces C (X. E) of E-valued continuous functions for finite-dimensional or uniformly convex and algebraically reflexive E.

引用

页码：449 / 469

页数：21

共 24 条

[1]

ALFSEN EM, 1971, ERGEBNISE MATH IHRER, V57

[2] Linear isometries between subspaces of continuous functions [J].