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Szegö limit theorems for operators with almost periodic diagonals

Steffen Roch·Bernd Silbermann
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Abstract

The classical Szegö 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.

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Steffen Roch, Bernd Silbermann. 2006-10-09. Szegö limit theorems for operators with almost periodic diagonals. https://arxiv.org/abs/math/0603322

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