Functional Analysis and Applications Seminar 

27/11/2009, 15:00 — 16:00 — Room P3.10, Mathematics Building
Helena Mascarenhas, Instituto Superior Técnico, Universidade Técnica de Lisboa

Finite section method for convolution type operators on $L_p(\mathbb{R})$ with symbols generated by PC and SO

We prove the applicability of the finite section method to an arbitrary operator in the Banach algebra generated by the operators of multiplication by piecewise continuous functions and the convolution operators with symbols in the algebra generated by piecewise continuous and slowly oscillating Fourier multipliers on $L_p(\mathbb{R})$. This is a joint work with Alexei Karlovich and Pedro A. Santos. Preprint is available at http://arxiv.org/abs/0909.3821