The canonical partial metric and the uniform convexity on normed spaces

The canonical partial metric and the uniform convexity on normed spaces

In this paper we introduce the notion of canonical partial metric associated to a norm to study geometric properties of normed spaces. In particular, we characterize strict convexity and uniform convexity of normed spaces in terms of the canonical partial metric defined by its norm. We prove that...

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Bibliographic Details
Main Authors: S. Oltra, Salvador Romaguera, E.A. Sánchez-Pérez
Format: Article
Language:English
Published: Universitat Politècnica de València 2005-10-01
Series:Applied General Topology
Subjects:
Partial metric
Convexity
Normed spaces
Online Access:http://polipapers.upv.es/index.php/AGT/article/view/1954

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