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Hyponormal and subnormal dual Toeplitz operators
Abstract
In this paper, we completely characterize hyponormal dual Toeplitz operators with general bounded measurable symbols by using the Douglas theorem in [R. G. Douglas, Proc. Amer. Math. Soc. 17 (1966), 413-415]. As an application, the hyponormality of dual Toeplitz operators with radial symbols and polynomial symbols in z and z̅ is characterized concretely. Moreover, we obtain complete characterizations for both subnormal dual Toeplitz operators with harmonic polynomial symbols and varTheta-class dual Toeplitz operators with bounded harmonic symbols.
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BibTeX
@misc{kong2026hyponormal,
title = {{Hyponormal and subnormal dual Toeplitz operators}},
author = {Linghui Kong and Yongning Li and Da Sun and Dechao Zheng},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.34017},
eprint = {2610.34017},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.34017},
}
RIS
TY - UNPB
TI - Hyponormal and subnormal dual Toeplitz operators
AU - Linghui Kong
AU - Yongning Li
AU - Da Sun
AU - Dechao Zheng
PY - 2026
DA - 2026/10/25
PB - arXiv
DO - 10.48550/arxiv.2610.34017
UR - https://arxiv.org/abs/2610.34017
AB - In this paper, we completely characterize hyponormal dual Toeplitz operators with general bounded measurable symbols by using the Douglas theorem in [R. G. Douglas, Proc. Amer. Math. Soc. 17 (1966), 413-415]. As an application, the hyponormality of dual Toeplitz operators with radial symbols and polynomial symbols in z and z̅ is characterized concretely. Moreover, we obtain complete characterizations for both subnormal dual Toeplitz operators with harmonic polynomial symbols and varTheta-class dual Toeplitz operators with bounded harmonic symbols.
ER -