Separating Maps between Spaces of Vector-Valued Absolutely Continuous Functions

Canadian mathematical bulletin

Luis Dubarbie¹ 

[1] Departamento de Matemáticas, Estadística y Computación, Facultad de Ciencias, Universidad de Cantabria, Santander, Spain

关键词: separating maps;    disjointness preserving;    vector-valued absolutely continuous functions;    automatic continuity;   

DOI  :  10.4153/CMB-2010-035-7

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

In this paper we give a description of separating or disjointness preserving linear bijections on spaces of vector-valued absolutely continuous functions defined on compact subsets of the real line. We obtain that they are continuous and biseparating in the finite-dimensional case. The infinite-dimensional case is also studied.

【 授权许可】

Unknown