Bala, Neeru ; Dhara, Kousik ; Sarkar, Jaydeb ; Sensarma, Aryaman (2021) Idempotent, model, and Toeplitz operators attaining their norms Linear Algebra and its Applications, 622 . pp. 150-165. ISSN 0024-3795
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Official URL: https://doi.org/10.1016/j.laa.2021.03.032
Related URL: http://dx.doi.org/10.1016/j.laa.2021.03.032
Abstract
We study idempotent, model, and Toeplitz operators that attain the norm. Notably, we prove that if Q is a backward shift invariant subspace of the Hardy space H2 (D), then the model operator SQ attains its norm. Here SQ = PQMz|Q, the compression of the shift Mz on the Hardy space H2 (D) to Q.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Toeplitz operators; Model operators; Idempotents; Hardy space; Inner functions. |
| ID Code: | 140588 |
| Deposited On: | 21 Jan 2026 07:01 |
| Last Modified: | 21 Jan 2026 07:01 |
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