A Strong Szego-Widom Limit Theorem for operators with almost periodic diagonal

作者：Ehrhardt Torsten^*; Roch Steffen; Silbermann Bernd

来源：Journal of Functional Analysis, 2011, 260(1): 30-75.

DOI：10.1016/j.jfa.2010.07.016

• Szego-Widom Limit Theorems
• Toeplitz operator
• Almost Mathieu operator
• Determinants of finite sections

The classical Strong Szego-Widom Limit Theorem describes the asymptotic behavior 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 sequences as their diagonals.

• 出版日期2011-1-1