Abstract of a paper by Luis Dubarbie
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 The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0906.1633 or http://arXiv.org/abs/0906.1633 or by email in unzipped form by transmitting an empty message with subject line uget 0906.1633 or in gzipped form by using subject line get 0906.1633 to: math@arXiv.org.
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alspach@fourier.math.okstate.edu