Article
| Title: | Kernels of Toeplitz operators on the Bergman space (English) |
| Author: | Lee, Young Joo |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 73 |
| Issue: | 4 |
| Year: | 2023 |
| Pages: | 1119-1130 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | A Coburn theorem says that a nonzero Toeplitz operator on the Hardy space is one-to-one or its adjoint operator is one-to-one. We study the corresponding problem for certain Toeplitz operators on the Bergman space. (English) |
| Keyword: | Toeplitz operator |
| Keyword: | Bergman space |
| MSC: | 32A36 |
| MSC: | 47B35 |
| DOI: | 10.21136/CMJ.2023.0402-22 |
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| Date available: | 2023-11-23T12:22:58Z |
| Last updated: | 2023-11-27 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/151950 |
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| Reference: | [8] Sundberg, C., Zheng, D.: The spectrum and essential spectrum of Toeplitz operators with harmonic symbols.Indiana Univ. Math. J. 59 (2010), 385-394. Zbl 1195.47019, MR 2666483, 10.1512/iumj.2010.59.3799 |
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| Reference: | [10] Zhu, K.: Operator Theory in Function Spaces.Mathematical Surveys and Monographs 138. AMS, Providence (2007). Zbl 1123.47001, MR 2311536, 10.1090/surv/138 |
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