60 citations · 78 across the 4 of their papers we have counts for
8 papers
Polynomially Isometric Matrices in Low Dimensions
Cara D. Brooks, Alberto A. Condori, Nicholas Seguin
Given two matrices, say and , when do and have the same ``size'' for every polynomial ? In this article, we provide definitive results in the ca…
Maximum Principles for Matrix-Valued Analytic Functions
Alberto A. Condori
To what extent is the maximum modulus principle for scalar-valued analytic functions valid for matrix-valued analytic functions? In response, we discuss some maximum norm principle…
A Resolvent Criterion for Normality
Cara D. Brooks, Alberto A. Condori
Given a normal matrix and an arbitrary square matrix (not necessarily of the same size), what relationships between and , if any, guarantee that is also a normal…
Cyclicity in Dirichlet-type spaces and extremal polynomials II: functions on the bidisk
Catherine Bénéteau, Alberto A. Condori, Constanze Liaw +2
We study Dirichlet-type spaces of analytic functions in the unit bidisk and their cyclic elements. These are the functions for which there exists a sequence $(…
Cyclicity in Dirichlet-type spaces and extremal polynomials
Catherine Bénéteau, Alberto Condori, Constanze Liaw +2
For functions in Dirichlet-type spaces we study how to determine constructively optimal polynomials that minimize among all polynomials of degree at mos…
An index formula in connection with meromorphic approximation
Alberto A. Condori
Let be a continuous matrix-valued function on the unit circle $\T$ such that the th singular value of the Hankel operator with symbol is greater than the…