Widom, Harold Asymptotic behavior of block Toeplitz matrices and determinants. II. (English) Zbl 0344.47016 Adv. Math. 21, 1-29 (1976). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 5 ReviewsCited in 105 Documents MSC: 47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators PDFBibTeX XMLCite \textit{H. Widom}, Adv. Math. 21, 1--29 (1976; Zbl 0344.47016) Full Text: DOI References: [1] Aitken, A. C., Determinants and Matrices (1962), Wiley-Interscience: Wiley-Interscience New York · Zbl 0108.01501 [2] Devinatz, A., The strong Szegö limit theorem, Illinois J. Math., 11, 160-175 (1967) · Zbl 0166.40301 [3] Douglas, R. G., Banach Algebra Techniques in Operator Theory (1972), Academic Press: Academic Press New York · Zbl 0247.47001 [4] Douglas, R. G., Banach algebra techniques in the theory of Toeplitz operators, (CBMS Lecture Notes, No. 15 (1973), American Mathematical Society: American Mathematical Society Providence, R. I) · Zbl 0252.47025 [5] Gohberg, I. C.; Feldman, I. A., Convolution equations and projection methods for their solution, (Translations of Mathematical Monographs, Vol. 41 (1974), American Mathematical Society: American Mathematical Society Providence) · Zbl 0278.45008 [6] Gohberg, I. C.; Krein, M. G., Systems of integral equations on a half-line with kernels depending on the difference of arguments, Amer. Math. Soc. Transl., 14, No. 2, 217-287 (1960) · Zbl 0098.07501 [7] Gohberg, I. C.; Krein, M. G., Introduction to the theory of linear nonselfadjoint operators, (Translations of Mathematical Monographs, Vol. 18 (1969), American Mathematical Society: American Mathematical Society Providence) · Zbl 0181.13504 [8] Golinskii, B. L.; Ibragimov, I. A., On Szegö’s limit theorem, Math. USSR-Izv., 5, No. 2, 421-446 (1971) · Zbl 0249.42012 [9] Hartman, P., On completely continuous Hankel matrices, (Proc. Amer. Math. Soc., 9 (1958)), 862-866 · Zbl 0090.09203 [10] Helton, J. W.; Howe, R. E., Integral operators: traces, index, and homology, (Proceedings of the conference on operator theory. Proceedings of the conference on operator theory, Lecture Notes in Math., Vol. 345 (1973), Springer-Verlag: Springer-Verlag Berlin) · Zbl 0268.47054 [11] Hirschmann, I. I., On a theorem of Szegö, Kac, and Baxter, J. Analyse Math., 14, 225-234 (1965) · Zbl 0141.07001 [12] Krein, M. G., On some new Banach algebras and Wiener-Lévy type theorems for Fourier series and integrals, Amer. Math. Soc. Transl., 93, No. 2, 177-199 (1970) [13] Libkind, L. M., Asymptotics of the eigenvalues of Toeplitz forms, Math. Notes, 11, 97-101 (1972) · Zbl 0262.42032 [14] Pincus, J. D., On the trace of commutators in the algebra of operators generated by an operator with trace class self-commutator (1972), unpublished [15] Widom, H., Asymptotic behavior of block Toeplitz matrices and determinants, Advances in Math., 13, 284-322 (1974) · Zbl 0281.47018 [16] H. WidomProc. Amer. Math. Soc.; H. WidomProc. Amer. Math. Soc. · Zbl 0312.47027 [17] Widom, H., Perturbing Fredholm operators to obtain invertible operators, J. Functional Anal., 20, 26-31 (1975) · Zbl 0307.47015 [18] Zygmund, A., Trigonometric Series II (1959), Cambridge Univ. Press: Cambridge Univ. Press New York · Zbl 0628.42001 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.