30/06/2015, 15:15 — 16:15 — Room P4.35, Mathematics Building
Yuri Karlovich, Universidad Autónoma del Estado de Morelos, Cuernavaca, México
$C^\ast$-algebras of poly-Bergman type operators over sectors
$C^\ast$-algebras generated by the operators of multiplication by continuous functions and by finite numbers of poly-Bergman and anti-poly-Bergman projections acting on the Lebesgue space $L^2$ over sectors of opening $\alpha\in(0,2\pi]$ are studied. Fredholm symbol calculi are constructed and Fredholm criteria for operators in these algebras in terms their Fredholm symbols are established.
