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Weighted inductive limits of spaces of entire functions

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Abstract.

Methods developed by Lusky in connection with the isomorphic classification of weighted Banach spaces of entire functions are used to show that projective description holds for weighted inductive limits of spaces of entire functions for radial weights of a certain type. It is shown by an example that our results are not covered by the general theorem of Bierstedt, Meise and Summers from 1982.

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Authors and Affiliations

  1. University of Paderborn, Paderborn, Germany

    Klaus D. Bierstedt

  2. Universidad Politécnica de Valencia, Valencia, Spain

    José Bonet

  3. University of Helsinki, Helsinki, Finland

    Jari Taskinen

Authors
  1. Klaus D. Bierstedt
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  2. José Bonet
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  3. Jari Taskinen
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Additional information

Authors’ addresses: Klaus D. Bierstedt, Mathematical Institute, University of Paderborn, Warburger Str. 100, D-33098 Paderborn, Germany; José Bonet, E.T.S. Arquitectura and IMPA, Departamento de Matemática Aplicada, Universidad Politécnica de Valencia, E-46071 Valencia, Spain; Jari Taskinen, Department of Mathematics and Statistics, University of Helsinki, P.O. Box 68, FIN-00014 Helsinki, Finland

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Bierstedt, K., Bonet, J. & Taskinen, J. Weighted inductive limits of spaces of entire functions. Monatsh Math 154, 103–120 (2008). https://doi.org/10.1007/s00605-008-0526-4

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  • DOI: https://doi.org/10.1007/s00605-008-0526-4

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