The eigenvalues, numerical ranges, and invariant subspaces of the Bergman Toeplitz operators over the bidisk

被引：0
作者：
Yongning Li
Yin Zhao
Xuanhao Ding
机构：
[1] Chongqing Technology and Business University,School of Mathematics and Statistics
来源：
Annals of Functional Analysis | 2024年 / 15卷
关键词：
Bergman space over the bidisk; Toeplitz operators; Eigenvalues; Numerical ranges; Invariant subspaces; 47B35; 47A75;
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摘要：
In this paper, we consider several questions about the eigenvalues, the numerical ranges, and the invariant subspaces of the Toeplitz operator on the Bergman space over the bidisk and we obtain the corresponding results.
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共 25 条
[1]  
Aleman A(1996)Beurling’s theorem for the Bergman space Acta Math. 177 275-310
[2]  
Richter S(1949)On two problems concerning linear transformations in Hilbert space Acta Math. 81 239-255
[3]  
Sundberg C(1987)On the invariant subspace problem for Banach spaces Acta Math. 158 213-313
[4]  
Beurling A(1994)Functions invariant under the Berezin transform J. Funct. Anal. 121 233-254
[5]  
Enflo P(2015)The dual space of pluriharmonic function space Acta Math. Sin. (Chin. Ser.) 5 833-840
[6]  
Engliš M(2020)Spectral aspects of the Berezin transform Ann. Henri Lebesgue 3 1343-1387
[7]  
He L(1972)The numerical range of a Toeplitz operator Proc. Am. Math. Soc. 35 101-103
[8]  
Cao G(1998)Spectral decomposition of some nonselfadjoint block operator matrices J. Oper. Theory 39 339-359
[9]  
Ioos L(2001)A new concept for block operator matrices: the quadratic numerical range Linear Algebra Appl. 330 89-112
[10]  
Kaminker V(1999)Properties of the Berezin transform of bounded functions Bull. Aust. Math. Soc. 59 21-31
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