A Strong Szegö–Widom Limit Theorem for operators with almost periodic diagonal

The classical Strong Szegö–Widom Limit Theorem describes the asymptotic behavior of the determinants of the finite sections PnT (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 sequences as their diagonals. © 2010 Elsevier Inc. All rights reserved.