TY - JOUR
AU - Oltra, Sandra
AU - Romaguera, Salvador
AU - Sánchez-Pérez, E. A.
PY - 2005/10/01
Y2 - 2024/05/21
TI - The canonical partial metric and the uniform convexity on normed spaces
JF - Applied General Topology
JA - Appl. Gen. Topol.
VL - 6
IS - 2
SE -
DO - 10.4995/agt.2005.1954
UR - https://polipapers.upv.es/index.php/AGT/article/view/1954
SP - 185-194
AB - <p>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.</p><p>We prove that these geometric properties can be considered, in this sense, as topological properties that appear when we compare the natural metric topology of the space with the non translation invariant topology induced by the canonical partial metric in the normed space.</p>
ER -