Abstract
We constructed an extension of norms from a closed subspace of a Banach space to the whole space that preserves various types of rotundity possessed by the subspace norms. We also constructed a strictly convex norm such that a prescribed set of points lies on the unit sphere of this norm.
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Supported by NSERC and the Killam Trust (Canada).
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Tang, WK. On the extension of rotund norms. Manuscripta Math 91, 73–82 (1996). https://doi.org/10.1007/BF02567940
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DOI: https://doi.org/10.1007/BF02567940