A Characterization of Invariant Subspaces for Isometric Representations of Product System over $$\mathbb {N}_0^{k}$$

DOI10.1007/S11785-024-01520-6MaRDI QIDQ6494885

Dimple Saini, Harsh Trivedi, Shankar Veerabathiran

Publication date: 30 April 2024

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

(C^*)-modules (46L08) Invariant subspaces of linear operators (47A15) Linear operators on function spaces (general) (47B38) Representations of (nonselfadjoint) operator algebras (47L55) Tensor products of linear operators (47A80)

Cites Work

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Discrete product systems of Hilbert bimodules.
Complements to models for noncommuting operators
Invariant subspaces in the polydisk
Unitary equivalence of invariant subspaces in the polydisk
Representation and index theory for $C^*$-algebras generated by commuting isometries
Simple $C^*$-algebras generated by isometries
Tensor algebras over $C^*$-correspondences: Representations, dilations, and $C^*$-envelopes
Subalgebras of $C^*$-algebras. III: Multivariable operator theory
Induced representations of C$^*$-algebras
Submodules in polydomains and noncommutative varieties
Doubly commuting invariant subspaces for representations of product systems of $C^*$-correspondences
Doubly $\Lambda$-commuting row isometries, universal models, and classification
Doubly commuting mixed invariant subspaces in the polydisc
Generating wandering subspaces for doubly commuting covariant representations
Wold decomposition for doubly commuting isometries
On two problems concerning linear transformations in Hilbert space
Doubly commuting submodules of the Hardy module over polydiscs
Isometric Dilations for Infinite Sequences of Noncommuting Operators
Continuous analogues of Fock space
WOLD DECOMPOSITION FOR REPRESENTATIONS OF PRODUCT SYSTEMS OF C*-CORRESPONDENCES
Operator theory on noncommutative domains
REGULAR DILATIONS OF REPRESENTATIONS OF PRODUCT SYSTEMS
The Validity of Beurling Theorems in Polydiscs
On the Wold-type decomposition of a pair of commuting isometries
Tensor Algebras, Induced Representations, and the Wold Decomposition
Multivariable Beurling–Lax representations: the commutative and free noncommutative settings
Noncommutative Function-Theoretic Operator Theory and Applications
Characterization of Invariant subspaces in the polydisc
Pairs of commuting isometries, I

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