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A note on the Mackey-star topology on a dual Banach space

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Abstract

By using a result in Kirk (Pac J Math 45:543–554, 1973), we show that there are separable Banach spaces such that their dual spaces, endowed with the Mackey-star topology, are not analytic. This solves a question raised in Kąkol et al. (Descriptive topology in selected topics of functional analysis, Springer, 2011), and in Kąkol and López-Pellicer (RACSAM 105:39–70, 2011).

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Authors and Affiliations

  1. Instituto de Matemática Pura y Aplicada, Universidad Politécnica de Valencia, Camino de Vera, s/n, 46022, Valencia, Spain

    A. J. Guirao & V. Montesinos

Authors
  1. A. J. Guirao
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  2. V. Montesinos
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Corresponding author

Correspondence to V. Montesinos.

Additional information

A. J. Guirao is Supported in part by MICINN and FEDER (Project MTM2008-05396), by Fundación Séneca (Project 08848/PI/08), by Generalitat Valenciana (GV/2010/036), and by Universitat Politècnica de València (project PAID-06-09-2829). V. Montesinos is Supported in part by Project MICINN MTM2011-22417, Generalitat Valenciana (GV/2010/036), and by Universitat Politècnica de València (Project PAID-06-09-2829).

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Guirao, A.J., Montesinos, V. A note on the Mackey-star topology on a dual Banach space. RACSAM 109, 417–418 (2015). https://doi.org/10.1007/s13398-014-0192-4

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  • DOI: https://doi.org/10.1007/s13398-014-0192-4

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