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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm130-1-12,
author = {W\l adys\l aw Kulpa},
title = {On metrics of characteristic zero},
journal = {Colloquium Mathematicae},
volume = {131},
year = {2013},
pages = {139-146},
zbl = {1286.54047},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm130-1-12}
}
Władysław Kulpa. On metrics of characteristic zero. Colloquium Mathematicae, Tome 131 (2013) pp. 139-146. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm130-1-12/