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A counterexample for a sup theorem in normed spaces

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Abstract

An example is given of a normed linear space that is not complete but for which each continuous linear functional attains its supremum on the unit ball.

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References

  1. M. M. Day,Normed Linear Spaces, Academic Press, 1962.

  2. R. C. James,Characterizations of reflexivity, Studia Math.23 (1964), 205–216.

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Authors and Affiliations

  1. Claremont Graduate School, Claremont, California

    Robert C. James

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  1. Robert C. James
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James, R.C. A counterexample for a sup theorem in normed spaces. Israel J. Math. 9, 511–512 (1971). https://doi.org/10.1007/BF02771466

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  • DOI: https://doi.org/10.1007/BF02771466

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