Szegö limit theorems for operators with almost periodic diagonals

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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.
32 pages

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Functional Analysis, 47B36; 47A75; 47B35

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http://salesiana.dossiersoluciones.com/handle/123456789/110174

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0603322
 http://arxiv.org/abs/math/0603322

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arXiv