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http://dx.doi.org/10.4134/BKMS.2014.51.1.237

THE HYPONORMAL TOEPLITZ OPERATORS ON THE VECTOR VALUED BERGMAN SPACE  

Lu, Yufeng (School of Mathematical Sciences Dalian University of Technology)
Cui, Puyu (School of Mathematical Sciences Dalian University of Technology)
Shi, Yanyue (School of Mathematical Sciences Ocean University of China)
Publication Information
Bulletin of the Korean Mathematical Society / v.51, no.1, 2014 , pp. 237-252 More about this Journal
Abstract
In this paper, we give a necessary and sufficient condition for the hyponormality of the block Toeplitz operators $T_{\Phi}$, where ${\Phi}$ = $F+G^*$, F(z), G(z) are some matrix valued polynomials on the vector valued Bergman space $L^2_a(\mathbb{D},\mathbb{C}^n)$. We also show some necessary conditions for the hyponormality of $T_{F+G^*}$ with $F+G^*{\in}h^{\infty}{\otimes}M_{n{\times}n}$ on $L^2_a(\mathbb{D},\mathbb{C}^n)$.
Keywords
hyponormality; block Toeplitz operator; block Hankel operator;
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Times Cited By KSCI : 2  (Citation Analysis)
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