2-Local isometries on vector-valued differentiable functions

被引：2
作者：
Li, Lei [1 ,2 ]
Liu, Siyu [1 ,2 ]
Ren, Weiyun [3 ]
机构：
[1] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
[2] Nankai Univ, LPMC, Tianjin 300071, Peoples R China
[3] Tianjin Univ, Sch Math, Tianjin 300354, Peoples R China
来源：
ANNALS OF FUNCTIONAL ANALYSIS | 2023年 / 14卷 / 04期
关键词：
2-Local isometry; Canonical isometry; Differentiable functions; LINEAR ISOMETRIES; DERIVATIONS; AUTOMORPHISMS; ALGEBRAS; SPACES;
D O I：
10.1007/s43034-023-00295-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let Q, K be connected open subsets of R-m and A(X), A(Y) be some kind of function spaces. We will study the 2-local isometries between the vector-valued differentiable function spaces C-0(p) (Q, A(X)) and C-0(p) (K, A(Y)), and show that they can be written as weighted composition operators.
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页数：11
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