On the limit of block Toeplitz determinants
HTML articles powered by AMS MathViewer
- by Harold Widom PDF
- Proc. Amer. Math. Soc. 50 (1975), 167-173 Request permission
Abstract:
An asymptotic formula is derived for block Toeplitz determinants which generalizes Szegö’s well-known formula for ordinary Toeplitz determinants.References
- I. C. Gohberg and M. G. Kreĭn, Introduction to the theory of linear nonselfadjoint operators, Translations of Mathematical Monographs, Vol. 18, American Mathematical Society, Providence, R.I., 1969. Translated from the Russian by A. Feinstein. MR 0246142
- J. William Helton and Roger E. Howe, Integral operators: commutators, traces, index and homology, Proceedings of a Conference Operator Theory (Dalhousie Univ., Halifax, N.S., 1973) Lecture Notes in Math., Vol. 345, Springer, Berlin, 1973, pp. 141–209. MR 0390829 J. D. Pincus, On the trace of commutators in the algebra of operators generated by an operator with trace class self-commutator, 1972 (unpublished).
- Charles E. Rickart, General theory of Banach algebras, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London-New York, 1960. MR 0115101
- Harold Widom, Asymptotic behavior of block Toeplitz matrices and determinants, Advances in Math. 13 (1974), 284–322. MR 409511, DOI 10.1016/0001-8708(74)90072-3
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 50 (1975), 167-173
- MSC: Primary 47B35
- DOI: https://doi.org/10.1090/S0002-9939-1975-0370254-4
- MathSciNet review: 0370254