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Duality and reflexivity in spaces of polynomials

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Abstract.

We first study the reflexivity of the space P(m E, F) of continuous m-homogeneous polynomials between Banach spaces E and F. Then, in a more general way, we obtain conditions under which the spaces P(m E, F)'' and P(m E'', F'') are canonically isomorphic.

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Authors and Affiliations

  1. Departamento de Análisis Matemático, Universidad Complutense de Madrid, 28040 Madrid, España, , , , , , ES

    J.A. Jaramillo

  2. Instituto de Matemática, Universidade Federal do Rio de Janeiro, CP 68530 – CEP 21945-970 Rio de Janeiro, R. J., Brasil, , , , , , BR

    L.A. de Moraes

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  1. J.A. Jaramillo
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  2. L.A. de Moraes
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Received: 21.12.1998

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Jaramillo, J., de Moraes, L. Duality and reflexivity in spaces of polynomials. Arch. Math. 74, 282–293 (2000). https://doi.org/10.1007/s000130050444

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  • DOI: https://doi.org/10.1007/s000130050444

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