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Binormal Toeplitz operators on the Hardy space
- Title
- Binormal Toeplitz operators on the Hardy space
- Authors
- Gu, Caixing; Kang, Dong-O; Ko, Eungil; Lee, Ji Eun
- Ewha Authors
- 고응일
- SCOPUS Author ID
- 고응일
- Issue Date
- 2019
- Journal Title
- INTERNATIONAL JOURNAL OF MATHEMATICS
- ISSN
- 0129-167X
1793-6519
- Citation
- INTERNATIONAL JOURNAL OF MATHEMATICS vol. 30, no. 1
- Keywords
- Toeplitz operator; binormal operator; model space
- Publisher
- WORLD SCIENTIFIC PUBL CO PTE LTD
- Indexed
- SCIE; SCOPUS
- Document Type
- Article
- Abstract
- We characterize binormal Toeplitz operators with analytic, or, coanalytic symbol functions. Furthermore, for a large class of nonanalytic, noncoanalytic Toeplitz operators which include Toeplitz operators with trigonometric or rational symbols, we prove that those Toeplitz operators are binormal if and only if they are normal. Some of the historically important examples of Toeplitz operators in the paper show that our problem is subtle and the above result is sharp.
- DOI
- 10.1142/S0129167X19500010
- Appears in Collections:
- 자연과학대학 > 수학전공 > Journal papers
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