Journal article
Subnormal and Hyponormal Toeplitz Operators With Operator‐Valued Symbols
Mathematische Nachrichten, e70235
08/19/2026
DOI: 10.1002/mana.70235
Abstract
Let be a separable Hilbert space and let . We first show that is subnormal if and only if is subnormal for almost all . Next, given and a finite Blaschke–Potapov product in (the Cowen set of ), we consider the question of which subnormal Toeplitz operators are normal or analytic, and we give a sufficient condition for an affirmative answer. In addition, we extend a result of Nakazi–Takahashi for scalar‐valued Toeplitz operators with finite rank self‐commutators.
Details
- Title: Subtitle
- Subnormal and Hyponormal Toeplitz Operators With Operator‐Valued Symbols
- Creators
- Mankunikuzhiyil Abhinand - University of CalicutRaúl E. Curto - University of IowaIn Sung Hwang - Sungkyunkwan UniversityWoo Young Lee - Seoul National UniversityThankarajan Prasad - Nalanda University
- Resource Type
- Journal article
- Publication Details
- Mathematische Nachrichten, e70235
- DOI
- 10.1002/mana.70235
- ISSN
- 0025-584X
- eISSN
- 1522-2616
- Publisher
- Wiley
- Grant note
- Department of Science and Technology U.S. National Science Foundation: DMS-2247167 NRF: 2022R1A2C1010830, 2021R1A2C1005428 Mathematical Research Impact Centric Support: MTR/2021/000373 Junior Research Fellowship
M. Abhinand is supported by the Junior Research Fellowship, University Grant commission, Government of India. R. Curto is partially supported by U.S. National Science Foundation Grant DMS-2247167. I. S. Hwang is supported by NRF(Korea) grant No. 2022R1A2C1010830. W. Y. Lee is supported by NRF(Korea) grant No. 2021R1A2C1005428. T. Prasad is supported in part by the Mathematical Research Impact Centric Support, MATRICS (MTR/2021/000373) by SERB, Department of Science and Technology (DST), Government of India.
- Language
- English
- Electronic publication date
- 08/19/2026
- Academic Unit
- Mathematics
- Record Identifier
- 9985220843202771
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