On local isometries between algebras of C(Y)-valued differentiable maps

被引：0

作者：

Hosseini, Maliheh ^{[1
]}

Jimenez-Vargas, A. ^{[2
]}

Ramirez, Maria Isabel ^{[2
]}

机构：

[1] KN Toosi Univ Technol, Fac Math, Tehran 163151618, Iran

[2] Univ Almeria, Dept Matemat, Almeria 04120, Spain

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2022年 / 116卷 / 03期

关键词：

Algebraic reflexivity; Topological reflexivity; Local isometry; 2-local isometry; Differentiable map; SURJECTIVE ISOMETRIES; 2-LOCAL ISOMETRIES; BANACH-ALGEBRAS; AUTOMORPHISMS; REFLEXIVITY;

D O I：

10.1007/s13398-022-01251-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K be either the real unit interval [0, 1] or the complex unit circle T and let C (Y ) be the space of all complex-valued continuous functions on a compact Hausdorff space Y. We prove that the isometry group of the algebra C-1 (K ,C(Y)) of all C(Y)-valued continuously differentiable maps on K, equipped with the Sigma-norm, is topologically reflexive and 2-topologically reflexive whenever the isometry group of C(Y) is topologically reflexive.

引用

页数：15

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