On metrics of characteristic zero
Colloquium Mathematicum, Tome 130 (2013) no. 1, pp. 139-146.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We introduce and study the concept of characteristic for metrics. It turns out that metrizable spaces endowed with an $L^*$-operator which admit a metric of characteristic zero play an important role in the theory of fixed points. We prove the existence of such spaces among infinite-dimensional linear topological spaces.
DOI : 10.4064/cm130-1-12
Keywords: introduce study concept characteristic metrics turns out metrizable spaces endowed * operator which admit metric characteristic zero play important role theory fixed points prove existence spaces among infinite dimensional linear topological spaces

Władysław Kulpa 1

1 Faculty of Mathematics and Natural Sciences Cardinal Stefan Wyszyński University Dewajtis 5 01-815 Warszawa, Poland
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Władysław Kulpa. On metrics of characteristic zero. Colloquium Mathematicum, Tome 130 (2013) no. 1, pp. 139-146. doi : 10.4064/cm130-1-12. http://geodesic.mathdoc.fr/articles/10.4064/cm130-1-12/

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