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On the limit of block Toeplitz determinants

Author: Harold Widom
Journal: Proc. Amer. Math. Soc. 50 (1975), 167-173
MSC: Primary 47B35
MathSciNet review: 0370254
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Abstract: An asymptotic formula is derived for block Toeplitz determinants which generalizes Szegö's well-known formula for ordinary Toeplitz determinants.

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  • [1] I. C. Gohberg and M. G. Kreĭn, Introduction to the theory of linear nonselfadjoint operators, ``Nauka", Moscow, 1965; English transl., Transl. Math. Monographs, vol. 18, Amer. Math. Soc., Providence, R. I., 1969. MR 36 #3137; 39 #7447. MR 0246142 (39:7447)
  • [2] J. W. Helton and R. E. Howe, Integral operators: traces, index, and homology, Proc. Conf. on Operator Theory, Lecture Notes in Math., vol. 345, Springer-Verlag, New York, 1973. MR 0390829 (52:11652)
  • [3] J. D. Pincus, On the trace of commutators in the algebra of operators generated by an operator with trace class self-commutator, 1972 (unpublished).
  • [4] C. E. Rickart, General theory of Banach algebras, University Series in Higher Math., Van Nostrand, Princeton, N. J., 1960. MR 22 #5903. MR 0115101 (22:5903)
  • [5] H. Widom, Asymptotic behavior of block Toeplitz matrices and determinants, Advances in Math. 13 (1974), 284-322. MR 0409511 (53:13266a)

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