Separating maps between spaces of vector-valued absolutely continuous functions
Functional Analysis
2009-06-10 v1
Abstract
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.
Cite
@article{arxiv.0906.1633,
title = {Separating maps between spaces of vector-valued absolutely continuous functions},
author = {Luis Dubarbie},
journal= {arXiv preprint arXiv:0906.1633},
year = {2009}
}
Comments
Canadian Mathematical Bulletin, to appear