Separating maps between spaces of vector-valued absolutely continuous functions

Details Separating maps between spaces of vector-valued absolutely continuous functions Separating maps between spaces of vector-valued absolutely continuous functions

2009-06-09

arxiv.org/abs/0906.1633v1

Mathematics

Functional Analysis

Canadian Mathematical Bulletin, to appear

Scientific paper

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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