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Indexed by:期刊论文

Date of Publication:2014-01-01

Journal:BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY

Included Journals:SCIE、Scopus

Volume:51

Issue:1

Page Number:237-252

ISSN No.:1015-8634

Key Words:hyponormality; block Toeplitz operator; block Hankel operator

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-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).