Sarkar, Jaydeb (2014) Wold decomposition for doubly commuting isometries Linear Algebra and its Applications, 445 . pp. 289-301. ISSN 0024-3795
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Official URL: https://doi.org/10.1016/j.laa.2013.12.011
Related URL: http://dx.doi.org/10.1016/j.laa.2013.12.011
Abstract
In this paper, we obtain a complete description of the class of n-tuples (n ≥ 2) of doubly commuting isometries. In particular, we present a several variables analogue of the Wold decomposition for isometries on Hilbert spaces. Our main result is a generalization of M. Slocinskiʼs Wold-type decomposition of a pair of doubly commuting isometries.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Commuting isometries; Wold Decomposition; Doubly Commutativity |
| ID Code: | 139358 |
| Deposited On: | 20 Aug 2025 16:41 |
| Last Modified: | 20 Aug 2025 16:41 |
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