Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2014-01-01

Journal: BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY

Included Journals: Scopus、SCIE

Volume: 51

Issue: 1

Page Number: 237-252

ISSN: 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).