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HYPONORMALITY OF TOEPLITZ OPERATORS WITH POLYNOMIAL SYMBOLS ON THE VECTOR VALUED BERGMAN SPACE

Release Time:2019-03-12  Hits:

Indexed by: Journal Article

Date of Publication: 2018-09-01

Journal: OPERATORS AND MATRICES

Included Journals: SCIE

Volume: 12

Issue: 3

Page Number: 787-796

ISSN: 1846-3886

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

Abstract: We arrive at a necessary condition and a sufficient condition for the hyponormal block Toeplitz operator TF+G*, on the vector valued Bergman space L-a(2)(D,C-n), where F and G are matrix valued analytic polynomials. Both of them are also new for the Bergman space L-a(2)(D).

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