Colloquium

Topological Measures and Quasi-linear Maps

Daniel Grubb Northern Illinois University

A quasi-linear map on a space of continuous functions C(X) is one that is linear on each singly generated subalgebra of C(X). An analog of the Riesz Representation Theorem associates set functions called topological measures to such maps. These generalize the usual regular Borel measures and are linked to much deeper aspects of the topology of the underlying space X. I will outline the theory as it now stands, provide some standard examples, and mention several open questions.

Thursday, 2 December 2004 4:10 p.m. in Math 109

Fall 2004 Colloquium Schedule          Mathematical Sciences | The University of Montana