Functional Analysis and Applications Seminar 

21/09/2007, 15:00 — 16:00 — Room P3.10, Mathematics Building
Bernd Silbermann, Technische Universität Chemnitz, Germany

Finite sections of band-dominated operators: $p$-theory

We propose an algebraic approach to the stability problem for the finite sections of general band-dominated operators acting on $l^p = l^p(Z)$ for $p \gt 1$. This approch allows us to get new results which previously were known mainly for $p = 2$. One of the main results shows that a band-dominated operator is Fredholm if and only if the approximation numbers of its finite sections have a special behavior.