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On metrics of characteristic zero

Władysław Kulpa — 2013

Colloquium Mathematicae

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.

L*-operators of convexity

Władysław Kulpa — 2015

Mathematica Applicanda

A notion of L^*-spaces is investigated as a generalization of convex  subspaces. This gives  some topological extensions  for  celebrated theorems due to  Maynard Smith, Brouwer and Nash.

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