Szegö limit theorems for operators with almost periodic diagonals

Steffen Roch, Bernd Silbermann

Published 2006-03-14, updated 2006-10-09Version 2

The classical Szeg\"o theorems study the asymptotic behaviour of the determinants of the finite sections $P_n T(a) P_n$ of Toeplitz operators, i.e., of operators which have constant entries along each diagonal. We generalize these results to operators which have almost periodic functions on their diagonals.