Kernels of Toeplitz operators

Takahiko NAKAZI

doi:10.2969/jmsj/03840607

Takahiko NAKAZI

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JOURNAL FREE ACCESS

1986 Volume 38 Issue 4 Pages 607-616

DOI https://doi.org/10.2969/jmsj/03840607

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Published: 1986 Received: March 04, 1985 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) V. M. Adamian, D. Z. Arov and M. G. Krein, On infinite Hankel matrices and generalized problems of Carathéodory-Fejér and F. Riesz, Funktional. Anal. i Prilozhen., 2 (1968), 1-19.
2) P. R. Ahern and D. N. Clark, On functions orthogonal to invariant subspaces, Acta Math., 124 (1970), 191-204.
3) P. Bloomfield, N. P. Jewell and E. Hayashi, Characterizations of completely non-deterministic stochastic processes, Pacific J. Math., 107 (1983), 307-317.
4) K, de Leeuw and W. Rudin, Extreme points and extremum problems in H¹, Pacific J. Math., 8 (1958), 467-485.
5) R. G. Douglas, Banach Algebra Techniques in Operator Theory, Academic Press, New York, 1972.
6) P. L. Duren, Theory of H^p Spaces, Academic Press, New York, 1970.
7) M. Hasumi, Extreme points and unicity of extremum problems in H¹ on polydiscs, Pacific J. Math., 44 (1973), 523-535.
8) E. Hayashi, Left invariant subspaces of H² and the kernels of Toeplitz operators, preprint.
9) N. Levinson and H. P. McKean, Jr., Weighted trigonometrical approximation on R¹ with application to the germ field of a stationary Gaussian noise, Acta Math., 112 (1964), 99-143.
10) T. Nakazi, Exposed points and extremal problems in H¹, J. Funct. Anal., 53 (1983), 224-230.
11) K. Yabuta, Some uniqueness theorems for H^p(Uⁿ) functions, Tohoku Math. J., 24 (1972), 353-357.

Right : [1] V. M. Adamian, D. Z. Arov and M. G. Krein, On infinite Hankel matrices and generalized problems of Carathéodory-Fejér and F. Riesz, Funktional. Anal. i Prilozhen., 2 (1968), 1-19.
[2] P. R. Ahern and D. N. Clark, On functions orthogonal to invariant subspaces, Acta Math., 124 (1970), 191-204.
[3] P. Bloomfield, N. P. Jewell and E. Hayashi, Characterizations of completely non-deterministic stochastic processes, Pacific J. Math., 107 (1983), 307-317.
[4] K, de Leeuw and W. Rudin, Extreme points and extremum problems in H¹, Pacific J. Math., 8 (1958), 467-485.
[5] R. G. Douglas, Banach Algebra Techniques in Operator Theory, Academic Press, New York, 1972.
[6] P. L. Duren, Theory of H^p Spaces, Academic Press, New York, 1970.
[7] M. Hasumi, Extreme points and unicity of extremum problems in H¹ on polydiscs, Pacific J. Math., 44 (1973), 523-535.
[8] E. Hayashi, Left invariant subspaces of H² and the kernels of Toeplitz operators, preprint.
[9] N. Levinson and H. P. McKean, Jr., Weighted trigonometrical approximation on R¹ with application to the germ field of a stationary Gaussian noise, Acta Math., 112 (1964), 99-143.
[10] T. Nakazi, Exposed points and extremal problems in H¹, J. Funct. Anal., 53 (1983), 224-230.
[11] K. Yabuta, Some uniqueness theorems for H^p(Uⁿ) functions, Tôhoku Math. J., 24 (1972), 353-357.

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