05/01/2018, 15:30 — 16:30 — Room P3.10, Mathematics Building
Yuri Karlovich, Universidad Autónoma del Estado de Morelos, México
One-sided invertibility of discrete functional operators with bounded coefficients
The one sided invertibility of discrete functional operators with bounded coefficients on the spaces $l^p(\mathbb{Z})$ with $p\in[1,\infty]$ is studied. Criteria of the one sided invertibility of such operators generalize those obtained in the case of slowly oscillating behavior of coefficients. Criteria of the one-sided invertibility of discrete functional operators associated with infinite slant-dominated matrices are established. Applications to studying the two- and one-sided invertibility of functional operators on Lebesgue spaces are also considered.
