A. Varela

activity

19992026

most citedHomotopy of state orbits

9 citations · 14 across the 9 of their papers we have counts for

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10 papers · 1 filter

math.FA2026

Graphs of operators as points in the Grassmann manifold

Esteban Andruchow, Lazaro Recht, Alejandro Varela

We study the set $Γ$ of graphs of closed, densely defined operators in a Hilbert space $H$ , regarded as a subset of the Grassmann manifold $P (H \times H)$ of orthogonal projections…

math.FA2023

Minimal self-adjoint compact operators, moment of a subspace and joint numerical range

Tamara Bottazzi, Alejandro Varela

We define the (convex) joint numerical range for an infinite family of compact operators in a Hilbert space H. We use this set to determine whether a self-adjoint compact operator…

math.FA2021

Moment of a subspace and joint numerical range

Abel Klobouk, Alejandro Varela

For a given complex finite dimensional subspace $S$ of $C^{n}$ and a fixed basis, we study the compact and convex subset of $(R_{\geq 0})^{n}$ that we call…

math.FA2020

Grassmann geometry of zero sets in reproducing kernel Hilbert spaces

Esteban Andruchow, Eduardo Chiumiento, Alejandro Varela

Let $H$ be a reproducing kernel Hilbert space of functions on a set $X$ . We study the problem of finding a minimal geodesic of the Grassmann manifold of $H$ tha…

math.FA2019

Supports for minimal hermitian matrices

Alberto Mendoza, Lázaro Recht, Alejandro Varela

We study certain pairs of subspaces $V$ and $W$ of $C^{n}$ we call supports that consist of eigenspaces of the eigenvalues $\pm ∥ M ∥$ of a minimal hermitian matrix $M$ ($\|M…

math.FA2016

Unitary subgroups and orbits of compact self-adjoint operators

Tamara Bottazzi, Alejandro Varela

Let H be a separable Hilbert space, and D(B(H))^ah the anti-Hermitian bounded diagonals in some fixed orthonormal basis and K(H) the compact operators. We study the group of unitar…