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arXiv · 0906.1633

Separating maps between spaces of vector-valued absolutely continuous functions

Luis Dubarbie
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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.

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Luis Dubarbie. 2009-06-09. Separating maps between spaces of vector-valued absolutely continuous functions. https://arxiv.org/abs/0906.1633

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