Seminar Details
2009-08-26 (16.30) : Colloquium CESAME-MAPA - Quasi-linear functionals and topological measures
At Aud. Ch.-J. de la Vallée Poussin (Cycl01)
Organized by Mathematical Engineering
Speaker :
Svetlana
BUTLER (University of Illinois at Urbana-Champaign
)
Abstract :
This talk is an introduction to the theory of quasi-linear functionals and topological measures.
Quasi-linear functionals are functionals on C(X) which, rather than being linear on all of C(X), are only
required to be linear on singly generated subalgebras of C(X). The corresponding set-functions on X
are topological measures.
Quasi-linear functionals and topological measures generalize linear functionals and Borel
measures and have many fascinating properties. We will give basic definitions and examples,
discuss some major results in the field so far, and outline venues for further research in this new area of
mathematics.