Abstract
We study the Banach spaces which are isomorphic to a subspace ofl ∞(N) which is analytic inR N. We prove structure theorems which show that some pathological situations cannot take place in this class. We show that a non-metrizable separable compact of Rosenthal has a continuous image which is not a compact of Rosenthal.
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Godefroy, G., Talagrand, M. Espaces de Banach representables. Israel J. Math. 41, 321–330 (1982). https://doi.org/10.1007/BF02760538
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DOI: https://doi.org/10.1007/BF02760538