Das, Susmita ; Pradhan, Deepak Kumar ; Sarkar, Jaydeb (2021) Submodules in Polydomains and Noncommutative Varieties Integral Equations and Operator Theory, 93 (3). ISSN 0378-620X
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Official URL: https://doi.org/10.1007/s00020-021-02642-8
Related URL: http://dx.doi.org/10.1007/s00020-021-02642-8
Abstract
Tensor product of Fock spaces is analogous to the Hardy space over the unit polydisc. This plays an important role in the development of noncommutative operator theory and function theory in the sense of noncommutative polydomains and noncommutative varieties. In this paper we study joint invariant subspaces of tensor product of full Fock spaces and noncommutative varieties. We also obtain, in particular, by using techniques of noncommutative varieties, a classification of joint invariant subspaces of n-fold tensor products of Drury–Arveson spaces.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer. |
| Keywords: | Invariant subspaces; Fock space; Noncommutative polyballs; Toeplitz operators; Multi-analytic operators; Noncommutative varieties; Drury–Arveson space. |
| ID Code: | 140431 |
| Deposited On: | 21 Jan 2026 07:04 |
| Last Modified: | 21 Jan 2026 07:04 |
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