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In this paper, we are concerned with hyponormal Toeplitz operators on the Hardy space of the unit circle. Our main result of this paper is to provide a simple and transparent proof on the hyponormality of Toeplitz operators with symmetric-type symbols via Schur complement lemma.
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참고문헌 (7)
참고문헌 신청
M. Cho / 2002 / Triangular Toeplitz contractions and Cowen sets for analytic polynomials / Proc. Amer. Math. Soc. 130:3957~3604
C. C. Cowen / 1988 / Hyponormality of Toeplitz operators / Proc. Amer. Math. Soc. 103:809~812
R. E. Curto / 2001 / Joint hyponormality of Toeplitz pairs, Memoirs Amer. Math. Soc. no. 712
I. Gohberg / 1993 / Classes of Linear Operators, Vol II / Birkhauser Verlag
I. S. Hwang / 2004 / Hyponormality of Toeplitz operators with polynomial and symmetric-type symbols / Integral Equations and Operator Theory 50(3):363~373
C. C. Cowen / 1988 / Hyponormality of Toeplitz operators / Proc. Amer. Math. Soc. 103:809~812
R. E. Curto / 2001 / Joint hyponormality of Toeplitz pairs, Memoirs Amer. Math. Soc. no. 712
I. Gohberg / 1993 / Classes of Linear Operators, Vol II / Birkhauser Verlag
I. S. Hwang / 2004 / Hyponormality of Toeplitz operators with polynomial and symmetric-type symbols / Integral Equations and Operator Theory 50(3):363~373
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