Gelu Popescu

collaborators

3 papers

math.FA2024

Noncommutative weighted shifts, joint similarity, and function theory in several variables

Gelu Popescu

The goal of this paper is to study the structure of noncommutative weighted shifts, their properties, and to understand their role as models (up to similarity) for $n$ -tuples of op…

math.FA2024

Noncommutative domains, universal operator models, and operator algebras, II

Gelu Popescu

In a recent paper, we introduced and studied the class of admissible noncommutative domains $D_{g^{- 1}} (H)$ in $B (H)^{n}$ associated with admissible free holomorphic functions $g$ in…

math.FA2024

Noncommutative domains, universal operator models, and operator algebras

Gelu Popescu

Let B(H) be the algebra of all bounded linear operators on a Hilbert space H. The main goal of the paper is to find large classes of noncommutative domains in B(H) with prescribed…