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

Voir la notice de l'article provenant de la source Cambridge University Press

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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