Szegö limit theorems for operators with almost periodic diagonals

Details Szegö limit theorems for operators with almost periodic diagonals Szegö limit theorems for operators with almost periodic diagonals

2006-03-14

arxiv.org/abs/math/0603322v2

Mathematics

Functional Analysis

32 pages

Scientific paper

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.

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