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Extreme norms on ℝn

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Abstract

LetN 1,N ∞ be thel 1 andl ∞ norms on ℝn. We denote by\(\mathcal{N}\) the set of all normsN on ℝn such thatN ∞≤N≤N 1. The aim of the paper is to present a characterization of the extreme points of\(\mathcal{N}\).

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References

  1. Grząślewicz, R.: Extreme symmetric norms on ℝ2. Colloquium Math.56, 147–151 (1988).

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  2. Tomczak-Jaegermann, N.: Problems on Banach spaces. Colloquium Math.45, 45–47 (1981).

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Authors and Affiliations

  1. Instytut Matematyki, Politechnika, PL-50-370, Wroclaw, Poland

    Ryszard Grząślewicz

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  1. Ryszard Grząślewicz
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This paper has been written while the author was a research fellow of the Alexander von Humboldt-Stiftung at the Mathematisches Institut der Eberhardt-Karls-Universität, Tübingen.

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Grząślewicz, R. Extreme norms on ℝn . Monatshefte für Mathematik 110, 257–259 (1990). https://doi.org/10.1007/BF01301679

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  • DOI: https://doi.org/10.1007/BF01301679

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