This is an announcement for the paper "Separating maps between spaces of vector-valued absolutely continuous functions" by Luis Dubarbie.

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.

Archive classification: math.FA

Mathematics Subject Classification: 47B38; 46E15, 46E40, 46H40, 47B33

Remarks: Canadian Mathematical Bulletin, to appear

The source file(s), cmb-9158.tex: 30683 bytes, is(are) stored in gzipped form as 0906.1633.gz with size 9kb. The corresponding postcript file has gzipped size 73kb.

Submitted from: luis.dubarbie@gmail.com

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