18 citations · 55 across the 30 of their papers we have counts for
28 papers · 1 filter
Restricted orbits of closed range operators and equivalences between frames for subspaces
Eduardo Chiumiento, Pedro Massey
Let be a separable infinite-dimensional complex Hilbert space and let be a two-sided ideal of the algebra of bounded operators $\mathcal{B}(\mathcal{H})…
On restricted diagonalization
Eduardo Chiumiento, Pedro Massey
Let be a separable infinite-dimensional complex Hilbert space, the algebra of bounded linear operators acting on and $\mathca…
Norm inequalities for the spectral spread of Hermitian operators
Pedro Massey, Demetrio Stojanoff, Sebastian Zarate
In this work we introduce a new measure for the dispersion of the spectral scale of a Hermitian (self-adjoint) operator acting on a separable infinite dimensional Hilbert space tha…
Absolute variation of Ritz values, principal angles and spectral spread
Pedro Massey, Demetrio Stojanoff, Sebastian Zarate
Let be a complex self-adjoint matrix, be -dimensional subspaces and let be a complex matrix whose c…
The spectral spread of Hermitian matrices
Pedro Massey, Demetrio Stojanoff, Sebastian Zarate
Let be a complex Hermitian matrix and let denote the eigenvalues of , counting multiplicities and arranged in non-increas…
Majorization bounds for Ritz values of self-adjoint matrices
Pedro Massey, Demetrio Stojanoff, Sebastian Zarate
A priori, a posteriori, and mixed type upper bounds for the absolute change in Ritz values of self-adjoint matrices in terms of submajorization relations are obtained. Some of our…
Generalized frame operator distance problems
Pedro Massey, Noelia Rios, Demetrio Stojanoff
Let be a positive semidefinite complex matrix and let , indexed by $\mathbb{I…
Local Lidskii's theorems for unitarily invariant norms
Pedro Massey, Noelia B. Rios, Demetrio Stojanoff
Lidskii's additive inequalities (both for eigenvalues and singular values) can be interpreted as an explicit description of global minimizers of functions that are built on unitari…
Optimal frame designs for multitasking devices with weight restrictions
María José Benac, Pedro Massey, Mariano Ruiz +1
Let be a finite sequence (of dimensions) and be a sequence of positive numbers (of weights), where $\m…
Frame completions with prescribed norms: local minimizers and applications
Pedro G. Massey, Noelia B. Rios, Demetrio Stojanoff
Let be a finite sequence of vectors in and let be a finite sequence of positive nu…
Frames of translates with prescribed fine structure in shift invariant spaces
Maria Jose Benac, Pedro Massey, Demetrio Stojanoff
For a given finitely generated shift invariant (FSI) subspace $\cW\subset L^2(\R^k)$ we obtain a simple criterion for the existence of shift generated (SG) Bessel sequences $E(\cF)…
Convex potentials and optimal shift generated oblique duals in shift invariant spaces
Maria Jose Benac, Pedro Massey, Demetrio Stojanoff
We introduce an extension of the convex potentials for finite frames (e.g. the frame potential defined by Benedetto and Fickus) in the framework of Bessel sequences of integer tran…
Aliasing and oblique dual pair designs for consistent sampling
Maria Jose Benac, Pedro Massey, Demetrio Stojanoff
In this paper we study some aspects of oblique duality between finite sequences of vectors $\cF$ and $\cG$ lying in finite dimensional subspaces $\cW$ and $\cV$, respectively. We c…
Multiplicative Lidskii's inequalities and optimal perturbations of frames
Pedro G. Massey, Mariano A. Ruiz, Demetrio Stojanoff
In this paper we study two design problems in frame theory: on the one hand, given a fixed finite frame $\cF$ for $\hil\cong\C^d$ we compute those dual frames $\cG$ of $\cF$ that a…
Procrustes problems and Parseval quasi-dual frames
G. Corach, P. Massey, M. Ruiz
Parseval frames have particularly useful properties, and in some cases, they can be used to reconstruct signals which were analyzed by a non-Parseval frame. In this paper, we compl…
Optimal frame completions with prescribed norms for majorization
Pedro Massey, Mariano Ruiz, Demetrio Stojanoff
Given a finite sequence of vectors in $\C^d$ we characterize in a complete and explicit way the optimal completions of obtained by adding a finite seq…
Optimal completions of a frame
P. Massey, M. Ruiz, D. Stojanoff
Given a finite sequence of vectors in $\C^d$ we describe the spectral and geometrical structure of optimal completions of obtained by adding a finite…
Robust dual reconstruction systems and fusion frames
Pedro Massey, Mariano Ruiz, Demetrio Stojanoff
We study the duality of reconstruction systems, which are -frames in a finite dimensional setting. These systems allow redundant linear encoding-decoding schemes implemented by…
On a family of frames for Krein spaces
J. I. Giribet, A. Maestripieri, F. Martínez Pería +1
A definition of frames for Krein spaces is proposed, which extends the notion of -orthonormal basis of Krein spaces. A -frame for a Krein space $(\HH, \K{\,}{\,})$ is in part…
Optimal dual frames and frame completions for majorization
Pedro G. Massey, Mariano A. Ruiz, Demetrio Stojanoff
In this paper we consider two problems in frame theory. On the one hand, given a set of vectors we describe the spectral and geometrical structure of optimal completio…
Duality in reconstruction systems
Pedro Massey, Mariano Ruiz, Demetrio Stojanoff
We consider the notion of finite dimensional reconstructions systems (RS's), which includes the fusion frames as projective RS's. We study erasures, some geometrical properties of…
The structure of minimizers of the frame potential on fusion frames
Pedro Massey, Mariano Ruiz, Demetrio Stojanoff
In this paper we study the fusion frame potential, that is a generalization of the Benedetto-Fickus (vectorial) frame potential to the finite-dimensional fusion frame setting. The…
Optimal reconstruction systems for erasures and for the q-potential
Pedro G. Massey
We introduce the -potential as an extension of the Benedetto-Fickus frame potential, defined on general reconstruction systems and we show that protocols are the minimizers of t…
Minimization of convex functionals over frame operators
Pedro Massey, Mariano Ruiz
We present results about minimization of convex functionals defined over a finite set of vectors in a finite dimensional Hilbert space, that extend several known results for the Be…