Systems of Toeplitz operators on 𝐻². II

Pousson, H. R.

doi:10.1090/S0002-9947-1968-0227793-7

Systems of Toeplitz operators on $H^{2}$. II
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by H. R. Pousson

Trans. Amer. Math. Soc. 133 (1968), 527-536

DOI: https://doi.org/10.1090/S0002-9947-1968-0227793-7

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References

F. F. Bonsall, Dual extremum problems in the theory of functions, J. London Math. Soc. 31 (1956), 105–110. MR 77095, DOI 10.1112/jlms/s1-31.1.105
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
Philip Hartman and Aurel Wintner, The spectra of Toeplitz’s matrices, Amer. J. Math. 76 (1954), 867–882. MR 73859, DOI 10.2307/2372661
Henry Helson, Lectures on invariant subspaces, Academic Press, New York-London, 1964. MR 0171178
Henry Helson and David Lowdenslager, Prediction theory and Fourier series in several variables, Acta Math. 99 (1958), 165–202. MR 97688, DOI 10.1007/BF02392425
Henry Helson and Gabor Szegö, A problem in prediction theory, Ann. Mat. Pura Appl. (4) 51 (1960), 107–138. MR 121608, DOI 10.1007/BF02410947
P. Masani, Shift invariant spaces and prediction theory, Acta Math. 107 (1962), 275–290. MR 140930, DOI 10.1007/BF02545791
H. R. Pousson, Systems of Toeplitz operators on $H^{2}$, Proc. Amer. Math. Soc. 19 (1968), 603–608. MR 225188, DOI 10.1090/S0002-9939-1968-0225188-9
J. H. M. Wedderburn, Lectures on matrices, Dover Publications, Inc., New York, 1964. MR 0168568
Harold Widom, Inversion of Toeplitz matrices. II, Illinois J. Math. 4 (1960), 88–99. MR 130572
N. Wiener and P. Masani, The prediction theory of multivariate stochastic processes. I. The regularity condition, Acta Math. 98 (1957), 111–150. MR 97856, DOI 10.1007/BF02404472