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论文类型：期刊论文

发表时间：2014-01-01

发表刊物：BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY

收录刊物：SCIE、Scopus

卷号：51

期号：1

页面范围：237-252

ISSN号：1015-8634

关键字：hyponormality; block Toeplitz operator; block Hankel operator

摘要：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-a(2) (D,C-n). We also show some necessary conditions for the hyponormality of TF+G* with F+G* is an element of h(infinity) circle times M-nxn on L-a(2) (D, C-n).