On an extension of norms from a subspace to the whole Banach space keeping their rotundity
Volume 112 / 1995
Studia Mathematica 112 (1995), 203-211
DOI: 10.4064/sm-112-3-203-211
Abstract
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.
