15/09/2016, 16:45 — 17:10 — Room 6.2.38, Faculty of Sciences of the Universidade de Lisboa
Frank-Olme Speck, Universidade de Lisboa
On the symmetrization of general Wiener-Hopf operators
This article focuses on general Wiener-Hopf operators given as $W = P_2 A |_{P_1 X}$ where $X,Y$ are Banach spaces, $P_1 \in \mathcal(X) \,,\, P_2 \in \mathcal(Y)$ are any projectors and $A \in \mathcal(X,Y)$ is boundedly invertible. It presents conditions for $W$ to be equivalently reducible to a Wiener-Hopf operator in a symmetric space setting where $X = Y$ and $P_1 = P_2$. The results and methods are related to the so-called Wiener-Hopf factorization through an intermediate space and the construction of generalized inverses of $W$ in terms of factorizations of $A$.
The talk is based upon joint work with Albrecht B\"{o}ttcher, to appear in J. Operator Theory.
