Topological Measures and Quasi-linear Maps

Authors

Daniel Grubb, Northern Illinois University

Document Type

Presentation Abstract

Presentation Date

12-2-2004

Abstract

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.

Additional Details

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

Recommended Citation

Grubb, Daniel, "Topological Measures and Quasi-linear Maps" (2004). Colloquia of the Department of Mathematical Sciences. 180.
https://scholarworks.umt.edu/mathcolloquia/180