On the point spectrum of a Toeplitz operator
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- by Douglas N. Clark PDF
- Trans. Amer. Math. Soc. 126 (1967), 251-266 Request permission
References
- Alberto Calderón, Frank Spitzer, and Harold Widom, Inversion of Toeplitz matrices, Illinois J. Math. 3 (1959), 490–498. MR 121652
- Allen Devinatz, Toeplitz operators on $H^{2}$ spaces, Trans. Amer. Math. Soc. 112 (1964), 304–317. MR 163174, DOI 10.1090/S0002-9947-1964-0163174-9
- P. L. Duren, On the spectrum of a Toeplitz operator, Pacific J. Math. 14 (1964), 21–29. MR 161133
- Philip Hartman and Aurel Wintner, On the spectra of Toeplitz’s matrices, Amer. J. Math. 72 (1950), 359–366. MR 36936, DOI 10.2307/2372039
- Philip Hartman, On the essential spectra of symmetric operators in Hilbert space, Amer. J. Math. 75 (1953), 229–240. MR 56841, DOI 10.2307/2372451
- Philip Hartman and Aurel Wintner, The spectra of Toeplitz’s matrices, Amer. J. Math. 76 (1954), 867–882. MR 73859, DOI 10.2307/2372661
- Philip Hartman, On unbounded Toeplitz matrices, Amer. J. Math. 85 (1963), 59–78. MR 150584, DOI 10.2307/2373186
- R. S. Ismagilov, On the spectrum of Toeplitz matrices, Dokl. Akad. Nauk SSSR 149 (1963), 769–772 (Russian). MR 0146670
- M. G. Kreĭn, Integral equations on the half-line with a kernel depending on the difference of the arguments, Uspehi Mat. Nauk 13 (1958), no. 5 (83), 3–120 (Russian). MR 0102721
- M. A. Neumark, Lineare Differentialoperatoren, Akademie-Verlag, Berlin, 1960 (German). MR 0216049
- G. Szegö, Über die Randwerte einer analytischen Funktion, Math. Ann. 84 (1921), no. 3-4, 232–244 (German). MR 1512033, DOI 10.1007/BF01459407
- Harold Widom, Inversion of Toeplitz matrices. II, Illinois J. Math. 4 (1960), 88–99. MR 130572
Additional Information
- © Copyright 1967 American Mathematical Society
- 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