Alberto A. Condori

activity

20082020

most citedCyclicity in Dirichlet-type spaces and extremal polynomials

60 citations · 78 across the 4 of their papers we have counts for

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6 papers · 1 filter

math.FA2020

Polynomially Isometric Matrices in Low Dimensions

Cara D. Brooks, Alberto A. Condori, Nicholas Seguin

Given two $d \times d$ matrices, say $A$ and $B$ , when do $p (A)$ and $p (B)$ have the same ``size'' for every polynomial $p$ ? In this article, we provide definitive results in the ca…

math.FA2017

A Resolvent Criterion for Normality

Cara D. Brooks, Alberto A. Condori

Given a normal matrix $A$ and an arbitrary square matrix $B$ (not necessarily of the same size), what relationships between $A$ and $B$ , if any, guarantee that $B$ is also a normal…

math.FA2013★ 18 cited

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 $D_{α}$ of analytic functions in the unit bidisk and their cyclic elements. These are the functions $f$ for which there exists a sequence $(…

math.FA2011

An index formula in connection with meromorphic approximation

Alberto A. Condori

Let $Φ$ be a continuous $n \times n$ matrix-valued function on the unit circle $\T$ such that the $(k - 1)$ th singular value of the Hankel operator with symbol $Φ$ is greater than the…

math.FA2009

Monotone thematic factorizations of matrix functions

Alberto A. Condori

We continue the study of the so-called thematic factorizations of admissible very badly approximable matrix functions. These factorizations were introduced by V.V. Peller and N.J.…

math.FA2008

On the sum of superoptimal singular values

Alberto A. Condori

We discuss the following extremal problem and its relevance to the sum of the so-called superoptimal singular values of a matrix function: Given an $m \times n$ matrix function $Φ$ …