Geodesic
Separating Maps between Spaces of Vector-Valued Absolutely Continuous Functions
Canadian mathematical bulletin, Tome 53 (2010) no. 3, pp. 466-474

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DOI

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.
DOI : 10.4153/CMB-2010-035-7
Mots-clés : 47B38, 46E15, 46E40, 46H40, 47B33, separating maps, disjointness preserving, vector-valued absolutely continuous functions, automatic continuity 
Dubarbie, Luis. Separating Maps between Spaces of Vector-Valued Absolutely Continuous Functions. Canadian mathematical bulletin, Tome 53 (2010) no. 3, pp. 466-474. doi: 10.4153/CMB-2010-035-7
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     author = {Dubarbie, Luis},
     title = {Separating {Maps} between {Spaces} of {Vector-Valued} {Absolutely} {Continuous} {Functions}},
     journal = {Canadian mathematical bulletin},
     pages = {466--474},
     year = {2010},
     volume = {53},
     number = {3},
     doi = {10.4153/CMB-2010-035-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-035-7/}
}
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