Seminário Análise Funcional e Aplicações 

26/07/2002, 14:00 — 15:00 — Sala P3.10, Pavilhão de Matemática
Yuri I. Karlovich, Universidad Autónoma del Estado de Morelos, México

An Index Formula for Toeplitz Operators with Oscillating Symbols

The talk is devoted to calculating the indices of Toeplitz operators with oscillating matrix symbols on the Hardy space over the upper half-plane. The symbols belong to the $C^{*}$-algebra generated by semi-almost periodic and slowly oscillating matrix functions. An approach which does not use the harmonic extensions of slowly oscillating matrix functions is presented.