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Separating Maps between Spaces of Vector-Valued Absolutely Continuous Functions

Published online by Cambridge University Press:  20 November 2018

Luis Dubarbie
Luis Dubarbie*
Affiliation:
Departamento de Matemáticas, Estadística y Computación, Facultad de Ciencias, Universidad de Cantabria, Santander, Spain e-mail: luis.dubarbie@gmail.com
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Abstract

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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.

Keywords

47B3846E1546E4046H4047B33separating mapsdisjointness preservingvector-valued absolutely continuous functionsautomatic continuity
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 53 , Issue 3 , 01 September 2010 , pp. 466 - 474
Copyright
Copyright © Canadian Mathematical Society 2010

References

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