Debnath, Ramlal ; Pradhan, Deepak K. ; Sarkar, Jaydeb (2024) Pairs of inner projections and two applications Journal of Functional Analysis, 286 (2). p. 110216. ISSN 0022-1236
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Official URL: https://doi.org/10.1016/j.jfa.2023.110216
Related URL: http://dx.doi.org/10.1016/j.jfa.2023.110216
Abstract
Orthogonal projections onto closed subspaces of H2 (Dn) of the form H2 (Dn) for inner functions φ on (Dn) are referred to as inner projections, where H2 (Dn) denotes the Hardy space over the open unit polydisc Dn. In this paper, we classify pairs of commuting inner projections. We also present two seemingly independent applications: the first is an answer to a question posed by R. G. Douglas, and the second is a complete classification of partially isometric truncated Toeplitz operators with inner symbols on Dn
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Orthogonal projections; Truncated Toeplitz operators; Model spaces; Hardy space on polydisc. |
| ID Code: | 140590 |
| Deposited On: | 30 Dec 2025 08:58 |
| Last Modified: | 30 Dec 2025 08:58 |
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