Szegö limit theorems for operators with almost periodic diagonals
Steffen Roch, Bernd Silbermann
Abstract
The classical Szegö theorems study the asymptotic behaviour of the determinants of the finite sections Pn T(a) Pn 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.
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