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In this paper we consider the hyponormality of Toeplitz operators $T_{\varphi}$ on the Bergman space $L^2_a(\mathbb{D})$ with symbol in the case of function f + $\overline{g}$ with polynomials f and g. We present some necessary conditions for the hyponormality of $T_{\varphi}$, under certain assumptions about the coefficients of ${\varphi}$.
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참고문헌 (11)
참고문헌 신청
S. Axler / 1988 / Bergman spaces and their operators, Surveys of Some Recent Results in Operator Theory, Vol. I, Pitman Research Notes in Mathematics, Vol 171 / Longman :1~50
C. Cowen / 1988 / Hyponormality of Toeplitz operators / Proc. Amer. Math. Soc 103:809~812
R. Douglas / 1972 / Banach algebra techniques in operator theory / Academic Press
D.R. Farenick / 1996 / Hyponormality and spectra of Toeplitz operators / Trans. Amer. Math. Soc 348:4153~4174
I.S. Hwang / 2002 / Hyponormality of trigonometric Toeplitz operators / Trans. Amer. Math 354:2461~2474
C. Cowen / 1988 / Hyponormality of Toeplitz operators / Proc. Amer. Math. Soc 103:809~812
R. Douglas / 1972 / Banach algebra techniques in operator theory / Academic Press
D.R. Farenick / 1996 / Hyponormality and spectra of Toeplitz operators / Trans. Amer. Math. Soc 348:4153~4174
I.S. Hwang / 2002 / Hyponormality of trigonometric Toeplitz operators / Trans. Amer. Math 354:2461~2474
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