Hyponormal block Toeplitz operators and the Caratheodory interpolation problems
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作者:
Hwang, In Sung
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Sungkyunkwan Univ, Dept Math, Suwon 440746, South KoreaSungkyunkwan Univ, Dept Math, Suwon 440746, South Korea
Hwang, In Sung
[1
]
Kim, Sumin
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Hanyang Univ, Dept Math, Seoul 04763, South Korea
Hanyang Univ, Res Inst Nat Sci, Seoul 04769, South KoreaSungkyunkwan Univ, Dept Math, Suwon 440746, South Korea
Kim, Sumin
[2
,3
]
机构:
[1] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea
[2] Hanyang Univ, Dept Math, Seoul 04763, South Korea
[3] Hanyang Univ, Res Inst Nat Sci, Seoul 04769, South Korea
In this paper, we consider hyponormal block Toeplitz operators with trigonometric polynomial symbols via the Caratheodory interpolation problem. We give a method to get inner functions in the Cowen set E(F) when TFis hyponormal. (C) 2022 Elsevier Inc. All rights reserved.