47 citations · 95 across the 37 of their papers we have counts for
48 papers
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 -tuples of op…
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 in associated with admissible free holomorphic functions in…
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…
Multi-Toeplitz operators associated with regular polydomains
Gelu Popescu
In this paper we introduce and study the class of weighted multi-Toeplitz operators associated with noncommutative polydomains , ${\bf m}:=(m_1,\ldots, m_k)\in {\bf N}…
Brown-Halmos characterization of multi-Toeplitz operators associated with noncommutative poly-hyperballs
Gelu Popescu
We obtain a noncommutative multivariable analogue of Louhichi and Olofsson characterization of Toeplitz operators with harmonic symbols on the weighted Bergman space …
Functional calculus and multi-analytic models on regular -polyballs
Gelu Popescu
The goal of the present paper is to introduce and study noncommutative Hardy spaces associated with the regular -polyball, to develop a functional calculus on noncommutative Har…