Seminário Análise Funcional e Aplicações 

13/09/2005, 16:00 — 17:00 — Sala P3.10, Pavilhão de Matemática
Steffen Roch, Technische Universität Darmstadt, Germany

Finite sections of band-dominated operators

The goal of this talk is to review recent advances and to present new results in the numerical analysis of the finite sections method for general band and band-dominated operators. The main topics are the stability of the finite sections method and the asymptotic behavior of singular values. The latter topic is closely related with compactness and Fredholm properties of approximation sequences. Special emphasis is paid to band-dominated operators with coefficients in the classes of slowly oscillating functions and almost periodic functions, respectively.