On metrics of characteristic zero
Volume 130 / 2013
Colloquium Mathematicum 130 (2013), 139-146
MSC: 54H25, 55M20.
DOI: 10.4064/cm130-1-12
Abstract
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.
