Abstract
We study the relation between different spaces of vector-valued polynomials and analytic functions over dual-isomorphic Banach spaces. Under conditions of regularity onE andF, we show that the spaces ofX-valuedn-homogeneous polynomials and analytic functions of bounded type onE andF are isomorphic wheneverX is a dual space. Also, we prove that many of the usual subspaces of polynomials and analytic functions onE andF are isomorphic without conditions on the involved spaces.
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Carando, D., Lassalle, S. E′ and its relation with vector-valued functions onE . Ark. Mat. 42, 283–300 (2004). https://doi.org/10.1007/BF02385480
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DOI: https://doi.org/10.1007/BF02385480