J. Antezana

activity

20042026

most citedLorentz-Shimogaki and Boyd theorems for weighted Lorentz spaces

15 citations · 51 across the 28 of their papers we have counts for

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16 papers · 1 filter

math.FA2026

Variations on two Cabrelli's works

Elona Agora, Jorge Antezana, Diana Carbajal

In this paper we present two different problems within the framework of shift-invariant theory. First, we develop a triangular form for shift-preserving operators acting on finitel…

math.FA2025

Characterization of multipliers on vector-valued Hardy spaces

Jorge Antezana, Daniel Carando, Tomás Fernández Vidal +1

This work characterizes the multipliers on vector-valued Hardy spaces over the infinite polydisk and the infinite polytorus, as well as in the context of Dirichlet series. Unlike t…

math.FA2023★ 2 cited

Random periodic sampling patterns for shift-invariant spaces

Jorge Antezana, Diana Carbajal, José Luis Romero

We consider multi-variate signals spanned by the integer shifts of a set of generating functions with distinct frequency profiles and the problem of reconstructing them from sample…

math.FA2021

Splitting the Riesz basis condition for systems of dilated functions]{Splitting the Riesz basis condition for systems of dilated functions through Dirichlet series

Jorge Antezana, Daniel Carando, Melisa Scotti

Inspired by the work of Hedenmalm, Lindqvist and Seip, we consider different properties of dilations systems of a fixed function $φ \in L^{2} (0, 1)$ . More precisely, we study when the…

math.FA2019★ 1 cited

Minimal curves in U(n) and Gl(n)+ with respect to the spectral and the trace norms

Jorge Antezana, Eduardo Ghiglioni, Demetrio Stojanoff

Consider the Lie group of n x n complex unitary matrices U(n) endowed with the bi-invariant Finsler metric given by the spectral norm, ||X||_U = ||U*X||_{sp} = ||X||_{sp} for any X…

math.FA2016

Approximation by partial isometries and symmetric approximation of finite frames

Jorge Antezana, Eduardo Chiumiento

We solve the problem of best approximation by partial isometries of given rank to an arbitrary rectangular matrix, when the distance is measured in any unitarily invariant norm. In…

math.FA2011

Thompson-type formulae

Jorge Antezana, Gabriel Larotonda, Alejandro Varela

Let X and Y be two nxn Hermitian matrices. In the article "Proof of a conjectured exponential formula" (Linear and Multilinear Algebra (19) 1986, 187-197) R. C. Thompson proved tha…

math.FA2007

The iterated Aluthge transforms of a matrix converge

Jorge Antezana, Enrique R. Pujals, Demetrio Stojanoff

Given an $r \times r$ complex matrix $T$ , if $T = U ∣ T ∣$ is the polar decomposition of $T$ , then, the Aluthge transform is defined by $Δ (T) = ∣ T ∣^{1/2} U ∣ T ∣^{1/2} .$ Let $Δ^{n} (T)$ …

math.FA2007

Convergence of iterated Aluthge transform sequence for diagonalizable matrices II: $λ$ -Aluthge transform

Jorge Antezana, Enrique Pujals, Demetrio Stojanoff

Let $λ \in (0, 1)$ and let $T$ be a $r \times r$ complex matrix with polar decomposition $T = U ∣ T ∣$ . Then, the $\la$- Aluthge transform is defined by $Δ_{λ} (T) = ∣ T ∣^{λ} U ∣ T ∣^{1 - λ} .$ …

math.FA2006

Convergence of iterated Aluthge transform sequence for diagonalizable matrices

J. Antezana, E. Pujals, D. Stojanoff

math.FA2005

Bilateral Shorted Operators and Parallel Sums

Jorge Antezana, Gustavo Corach, Demetrio Stojanoff

In this paper we study shorted operators relative to two different subspaces, for bounded operators on infinite dimensional Hilbert spaces. We define two notions of complementabili…

math.FA2005

The Schur-Horn theorem for operators and frames with prescribed norms and frame operator

J. Antezana, P. Massey, M. Ruiz +1

Let $H$ be a Hilbert space. Given a bounded positive definite operator $S$ on $H$ , and a bounded sequence $c = {c_{k}}_{k \in N}$ of non negativ…

math.FA2004★ 7 cited

Jensen's Inequality and majorization

Jorge Antezana, Pedro Massey, Demetrio Stojanoff

Let $A$ be a $C^{*}$ -algebra and $ϕ:\cA\to L(H)$ be a positive unital map. Then, for a convex function $f : I \to R$ defined on some open interval and a self-adjoint…

math.FA2004★ 9 cited

Nullspaces and frames

Jorge Antezana, Gustavo Corach, Mariano Ruiz +1

In this paper we give new characterizations of Riesz and conditional Riesz frames in terms of the properties of the nullspace of their synthesis operators. On the other hand, we al…

math.FA2004

Weighted projections and Riesz frames