Das, B. Krishna ; Debnath, Ramlal ; Sarkar, Jaydeb (2020) On Certain Commuting Isometries, Joint Invariant Subspaces and C ∗-Algebras Operator Theory: Advances and Applications . pp. 147-170. ISSN 0255-0156
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Official URL: https://doi.org/10.1007/978-3-030-43380-2_8
Related URL: http://dx.doi.org/10.1007/978-3-030-43380-2_8
Abstract
In this paper, motivated by the Berger–Coburn–Lebow and Bercovici–Douglas–Foias theory for tuples of commuting isometries, we study analytic representations and joint invariant subspaces of a class of n-tuples of commuting isometries and prove that the C-algebra* generated by the n-tuple of multiplication operators by the coordinate functions restricted to an invariant subspace of finite codimension in H2(Dn) is unitarily equivalent to the C-algebra* generated by the n-tuple of multiplication operators by the coordinate functions on H2(Dn)
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer. |
| Keywords: | Unilateral shift; Commuting isometries; Joint invariant subspaces; Hardy space over unit polydisc; C ∗-algebras; Finite codimensional subspaces. |
| ID Code: | 140594 |
| Deposited On: | 29 Dec 2025 10:49 |
| Last Modified: | 29 Dec 2025 10:49 |
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