Geodesic
Asplund Sets and Metrizability for the Polynomial Topology
Journal of convex analysis, Tome 18 (2011) no. 2, pp. 433-446 Cet article a éte moissonné depuis la source Heldermann Verlag

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The theme of this paper is the study of the separability of subspaces of holomorphic functions respect to the convergence over a given set and its connection with the metrizability of the polynomial topology. A notion closely related to this matter is that of Asplund set. Our discussion includes an affirmative answer to a question of Globevnik about interpolating sequences. We also consider the interplay between polynomials and Asplund sets and derive some consequences of it. Among them we obtain a characterization of Radon-Nikodym composition operators on algebras of bounded analytic functions.
Classification : 46B22, 46G20, 46G10, 46J15, 47B33, 65D05
Mots-clés : Algebras of analytic functions, Asplund set, composition operator, interpolation, polynomial topology, Radon-Nikodym property 
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     author = {P. Galindo and A Miralles},
     title = {Asplund {Sets} and {Metrizability} for the {Polynomial} {Topology}},
     journal = {Journal of convex analysis},
     pages = {433--446},
     year = {2011},
     volume = {18},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JCA_2011_18_2_JCA_2011_18_2_a10/}
}
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P. Galindo; A Miralles. Asplund Sets and Metrizability for the Polynomial Topology. Journal of convex analysis, Tome 18 (2011) no. 2, pp. 433-446. http://geodesic.mathdoc.fr/item/JCA_2011_18_2_JCA_2011_18_2_a10/