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Slices in the unit ball of a uniform algebra

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Abstract.

We show that every nonvoid relatively weakly open subset, in particular every slice, of the unit ball of an infinite-dimensional uniform algebra has diameter 2.

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Authors and Affiliations

  1. Department of Mathematics, Agder College, Tordenskjoldsgate 65, 4604 Kristiansand, Norway, , , , , , NO

    O. Nygaard

  2. Department of Mathematics, Freie Universität Berlin, Arnimallee 2 – 6, 14195 Berlin, Germany, , , , , , DE

    D. Werner

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  1. O. Nygaard
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  2. D. Werner
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Received: 22.12.1999

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Nygaard, O., Werner, D. Slices in the unit ball of a uniform algebra. Arch. Math. 76, 441–444 (2001). https://doi.org/10.1007/PL00000455

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  • DOI: https://doi.org/10.1007/PL00000455

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