Szeg\"o limit theorems for operators with almost periodic diagonals
Functional Analysis
2007-05-23 v2
Abstract
The classical Szeg\"o theorems study the asymptotic behaviour of the determinants of the finite sections 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.
Keywords
Cite
@article{arxiv.math/0603322,
title = {Szeg\"o limit theorems for operators with almost periodic diagonals},
author = {Steffen Roch and Bernd Silbermann},
journal= {arXiv preprint arXiv:math/0603322},
year = {2007}
}
Comments
32 pages