52 citations · 134 across the 21 of their papers we have counts for
21 papers
Closed-range posinormal operators and their products
Paul Bourdon, Carlos Kubrusly, Trieu Le +1
We focus on two problems relating to the question of when the product of two posinormal operators is posinormal, giving (1) necessary conditions and sufficient conditions for posin…
Analogues of Finite Blaschke Products as Inner Functions
Christopher Felder, Trieu Le
We give a generalization of the notion of finite Blaschke products from the perspective of generalized inner functions in various reproducing kernel Hilbert spaces. Further, we stu…
A generalization of the Brown-Halmos theorems for the unit ball
Trieu Le, Akaki Tikaradze
In this paper we generalize the classical theorems of Brown and Halmos about algebraic properties of Toeplitz operators to Bergman spaces over the unit ball in several complex vari…
Finite Rank Perturbations of Toeplitz Products on the Bergman Space
Trieu Le, Damith Thilakarathna
In this paper we investigate when a finite sum of products of two Toeplitz operators with quasihomogeneous symbols is a finite rank perturbation of another Toeplitz operator on the…
Hyponormal Toeplitz Operators on Weighted Bergman Spaces
Trieu Le, Brian Simanek
We consider operators acting on a Hilbert space that can be written as the sum of a shift and a diagonal operator and determine when the operator is hyponormal. The condition is pr…
Decomposing algebraic m-isometric tuples
Trieu Le
We show that any m-isometric tuples of commuting operators on a finite dimensional Hilbert space can be decomposed as a sum of a spherical isometry and a commuting nilpotent tuple.…