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Fatemeh Azari Key, Yufeng Lu, and Rongwei Yang
On numerical invariants for homogeneous submodules in H2(D2) view print
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| Published: |
April 30, 2017
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| Keywords: |
Hardy space over the bidisk, submodule, core operator, fringe operator, Toeplitz matrix |
| Subject: |
Primary 47A13; Secondary 46E20 |
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Abstract
The Hardy space H2(D2) can be viewed as a module over the polynomial ring C[z,w] with module action defined by multiplication of functions. The core operator is a bounded self-adjoint integral operator defined on submodules of
H2(D2), and it gives rise to some interesting numerical invariants for the submodules. These invariants are difficult to compute or estimate in general. This paper computes these invariants for homogeneous submodules through Toeplitz determinants.
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| Author information
Fatemeh Azari Key:
School of Mathematical Science, Dalian University of Technology, Dalian, Liaoning 116024, China
fa.azari@mail.dlut.edu.cn
Yufeng Lu:
School of Mathematical Science, Dalian University of Technology, Dalian, Liaoning 116024, China
lyfdlut@dlut.edu.cn
Rongwei Yang:
Department of Mathematics and Statistics, University at Albany, Albany, NY 12222, U.S.A.
ryang@albany.edu
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