A common thread of the research interests of the functional analysis
and operator theory group is the local spectral theory of bounded
linear operators on Banach spaces. Particular emphasis is on the
connections and applications to Fredholm theory, function-theoretic
operator theory, and the theory of cyclic phenomena for operators on
Banach spaces. Further interest is in the connections between local
spectral theory and the theory of Banach algebras, in particular group
and measure algebras on locally compact abelian groups. Another
research emphasis is the area of convex analysis with applications to
the theory of flows in networks and mathematical economics.
Faculty conducting research in functional analysis and operator theory
- Len Miller - local spectral theory and function-theoretic operator theory
- Vivien Miller - hypercyclicity and local spectral theory
- Michael Neumann - Banach algebras, local spectral theory, and convex analysis
- Robert Smith - function-theoretic operator theory
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