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Separability of analytic images of some Banach spaces. (English) Zbl 0406.46039

MSC:
 46G20 Infinite-dimensional holomorphy
Keywords:
Analytic Map; Density Character
Full Text:
References:
 [1] S. Dineen : Growth properties of pseudoconvex domains and domains of holomorphy in locally convex linear topological vector spaces . Math. Ann. 226 (1977) 229-236. · Zbl 0356.46047 · doi:10.1007/BF01362425 · eudml:162955 [2] L. Drewnowski : An extension of a theorem of Rosenthal on operators acting from 1\infty (\Gamma ) . Studia Math. 57 (1976) 209-215. · Zbl 0351.46008 · eudml:218048 [3] L. Drewnowski : Un théoreme sur les opérateurs de 1\infty (\Gamma ) . C. R. Acad. Sc. Paris, Ser A, 281 (1975) 967-969. · Zbl 0323.46014 [4] J. Globevnik : On the range of analytic functions into a Banach space. Infinite Dim. Holomorphy Appl. (Matos Ed.) North Holland Math. Studies 12 (1977) pp. 201-209. · Zbl 0369.46027 [5] J. Globevnik : On the ranges of analytic maps in infinite dimensions . (To appear in Advances in Holomorphy, Barroso Ed., North Holland). · Zbl 0407.46041 [6] J. Globevnik : On the range of analytic maps on c0(\Gamma ) . (To appear in Boll. Un. Mat. Ital.) [7] E. Hille , R.S. Phillips : Functional Analysis and semi-groups . Amer. Math. Soc. Colloq. Publ. 31 (1957). · Zbl 0078.10004 · www.ams.org [8] B. Josefson : A counterexample in the Levi problem. Proc. Inf. Dim. Holomorphy . Lecture Notes in Math. 364, pp. 168-177, Springer 1974. · Zbl 0285.32017 [9] B. Josefson : Some remarks on Banach valued polynomials on c0(A). Infinite Dim. Holomorphy Appl. (Matos Ed.) North Holland Math. Studies 12 (1977) pp. 231-238. · Zbl 0373.46049 [10] E. Lacey , R.J. Whitley : Conditions under which all the bounded linear maps are compact . Math. Ann. 158 (1965) 1-5. · Zbl 0141.32102 · doi:10.1007/BF01370391 · eudml:161249 [11] L. Nachbin : Topology on spaces of holomorphic mappings . Erg. der Math., Bd. 47, Springer 1969. · Zbl 0172.39902 [12] H.P. Rosenthal : On relatively disjoint families of measures, with some applications to Banach space theory . Studia Math. 37 (1970) 13-16. · Zbl 0227.46027 · eudml:217493
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