Abstract
The aim of this paper is to study the canonical partial metric associated to the norm of a normed space, whose related non-translation-invariant topology can be used to characterize the convexity properties of the original space. In order to do this, we define and characterize a new intermediate geometric property that we call continuous convexity, which appears in a natural way in the context of the canonical partial metric topology.
Citation
S. Oltra. S. Romaguera. E.A. Sánchez Pérez. "Continuous convexity and canonical partial metrics in normed spaces." Bull. Belg. Math. Soc. Simon Stevin 15 (3) 547 - 559, September 2008. https://doi.org/10.36045/bbms/1222783099
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