Lecture Details
Name: Pablo Galindo (Universidad de Valencia)Speaking: Wed 8th May 10:30 - 10:55Title: Spectra of weighted composition operators on analytic function spacesAbstract: Let $E$ be a complex Banach space with open unit ball $B_E.$ For analytic self-maps $\varphi$ of $B_E$ with $\varphi(0) =0,$ we investigate the spectra of weighted composition operators $uC_\varphi$ acting on a large class of spaces of analytic functions. This class contains, for example, weighted Banach spaces of $H^\infty$-type on $B_E$, weighted Bergman spaces $A^p_\alpha(\mathbb B_N)$ and Hardy spaces $H^p(\mathbb B_N)$. We present a general approach for deducing new information about the spectrum and for estimating the essential spectral radius of $uC_\varphi.$
Joint work with Mikael Lindström and Niklas Wikman.