On metrics of characteristic zero

Władysław Kulpa. "On metrics of characteristic zero." Colloquium Mathematicae 130.1 (2013): 139-146. <http://eudml.org/doc/284118>.

@article{WładysławKulpa2013,
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.},
author = {Władysław Kulpa},
journal = {Colloquium Mathematicae},
keywords = {-convexity; fixed points; Brouwer-Schauder theorem},
language = {eng},
number = {1},
pages = {139-146},
title = {On metrics of characteristic zero},
url = {http://eudml.org/doc/284118},
volume = {130},
year = {2013},
}

TY - JOUR
AU - Władysław Kulpa
TI - On metrics of characteristic zero
JO - Colloquium Mathematicae
PY - 2013
VL - 130
IS - 1
SP - 139
EP - 146
AB - 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.
LA - eng
KW - -convexity; fixed points; Brouwer-Schauder theorem
UR - http://eudml.org/doc/284118
ER -