Year: 2025
Type: article
Abstract: In a recent paper, we introduced and studied the class of admissible noncommutative domains Dg−1(H) in B(H)n. Each such a domain admits a universal model W:=(W1,…,Wn) of weighted left creation operators acting on the full Fock space. In the present paper, we obtain a Beurling type characterization of the invariant subspaces of the universal model W and develop a dilation theory for the elements of the domain Dg−1(H). We also obtain results concerning the commutant lifting and Toeplitz-corona in our setting as as well as some results on the boundary property for universal models.
Source: Journal of Operator Theory
Author: Gelu Popescu
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: National Science Foundation
OpenAlex ID: W4410364491