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Ball proximinality of equable spaces

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Abstract

The notion of ball proximinality and the strong ball proximinality were recently introduced in [2]. We prove that an equable subspaceY of a Banach spaceX is strongly ball proximinal and the metric projection fromX, onto the closed unit ball ofY, is Hausdorff metric continuous.

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Authors and Affiliations

  1. Department of Mathematics, Pondicherry University Kalapet, 605014, Pondicherry, India

    S. Lalithambigai

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  1. S. Lalithambigai
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Correspondence to S. Lalithambigai.

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Lalithambigai, S. Ball proximinality of equable spaces. Collect. Math. 60, 79–88 (2009). https://doi.org/10.1007/BF03191217

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  • DOI: https://doi.org/10.1007/BF03191217

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