Geodesic
On an extension of norms from a subspace to the whole Banach space keeping their rotundity
Studia Mathematica, Tome 112 (1994) no. 3, pp. 203-211

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Let ℛ denote some kind of rotundity, e.g., the uniform rotundity. Let X admit an ℛ-norm and let Y be a reflexive subspace of X with some ℛ-norm ∥·∥. Then we are able to extend ∥·∥ from Y to an ℛ-norm on X.
DOI : 10.4064/sm-112-3-203-211

M. Fabian 1

1 
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M. Fabian. On an extension of norms from a subspace to the whole Banach space keeping their rotundity. Studia Mathematica, Tome 112 (1994) no. 3, pp. 203-211. doi: 10.4064/sm-112-3-203-211

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