On the point spectrum of a Toeplitz operator
Author:
Douglas N. Clark
Journal:
Trans. Amer. Math. Soc. 126 (1967), 251-266
MSC:
Primary 47.25
DOI:
https://doi.org/10.1090/S0002-9947-1967-0201968-4
MathSciNet review:
0201968
Full-text PDF
References | Similar Articles | Additional Information
- [1] A. Calderón, F. Spitzer and H. Widom, Inversion of Toeplitz matrices, Illinois J. Math. 3 (1959), 490-498. MR 0121652 (22:12386)
- [2]
A. Devinatz, Toeplitz operators on
-spaces, Trans. Amer. Math. Soc. 112 (1964), 304-317. MR 0163174 (29:477)
- [3] P. L. Duren, On the spectrum of a Toeplitz operator, Pacific J. Math. 14 (1964), 21-29. MR 0161133 (28:4342)
- [4] P. Hartman and A. Wintner, On the spectra of Toeplitz's matrices, Amer. J. Math. 72 (1950), 359-366. MR 0036936 (12:187a)
- [5] P. Hartman, On the essential spectra of symmetric operators, Amer. J. Math. 75 (1953), 229-240. MR 0056841 (15:136a)
- [6] P. Hartman and A. Wintner, The spectra of Toeplitz's matrices, Amer. J. Math. 76 (1954), 867-882. MR 0073859 (17:499a)
- [7] P. Hartman, Unbounded Toeplitz matrices, Amer. J. Math. 85 (1963), 59-78. MR 0150584 (27:580)
- [8] R. S. Ismagilov, The spectrum of Toeplitz matrices, Dokl. Akad. Nauk SSSR 149 (1963), 769-774 = Soviet Math. Dokl. 4 (1963), 462-465. MR 0146670 (26:4190)
- [9] M. G. Kreĭn, Integral equations on a half-line with kernel depending on the difference of the arguments, Uspehi Mat. Nauk 13 (1958), no. 5 (83), 3-120; English transl., Amer. Math. Soc. Transl. (2) 22 (1962), 163-288. MR 0102721 (21:1507)
- [10] M. A. Neumark, Lineare Differentialoperatoren, Akademie-Verlag, Berlin, 1960. MR 0216049 (35:6884)
- [11] G. Szegö, Ueber die Randwerte einer analytischen Funktion, Math. Ann. 84 (1931), 232-244. MR 1512033
- [12] H. Widom, Inversion of Toeplitz matrices. II, Illinois J. Math. 4 (1960), 88-99. MR 0130572 (24:A432)
Retrieve articles in Transactions of the American Mathematical Society with MSC: 47.25
Retrieve articles in all journals with MSC: 47.25
Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1967-0201968-4
Article copyright:
© Copyright 1967
American Mathematical Society