Szegö limit theorems for operators with almost periodic diagonals

Abstract

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

References in corpus (1)

• The role of C*-algebras in infinite dimensional numerical linear algebra