Daniel Su'arez

activity

20072022

most citedThe eigenvalues of limits of radial Toeplitz operators

31 citations · 32 across the 6 of their papers we have counts for

collaborators

7 papers

math.FA2022

Frames of iterations and vector-valued model spaces

Carlos Cabrelli, Ursula Molter, Daniel Suárez

Let T be a bounded operator on a Hilbert space H, and F = {f_j: j in J} an at most countable set of vectors in H. In this note, we characterize the pairs {T, F} such that {T^n f: f…

math.FA2022

On the analytic structure of the $H^{\infty}$ maximal ideal space

Daniel Suárez

We characterize the algebra $H^{\infty} \circ L_{m}$ , where $m$ is a point of the maximal ideal space of $H^{\infty}$ with nontrivial Gleason part $P (m)$ and $L_{m} : \mathbb{D}\to P(m…

math.FA2019

Multi-orbital frames through model spaces

Carlos Cabrelli, Ursula Molter, Daniel Suárez

We characterize the normal operators $A$ on $ℓ^{2}$ and the elements $a^{i} \in ℓ^{2}$ , with $1 \leq i \leq m$ , such that the sequence ${A^{n} a^{1}, \dots, A^{n} a^{m}}_{n \geq 0}$ is…

math.FA2013

A generalization of Toeplitz operators on the Bergman space

Daniel Suárez

If $μ$ is a finite measure on the unit disc and $k \geq 0$ is an integer, we study a generalization derived from Englis's work, $T_{μ}^{(k)}$ , of the traditional Toeplitz operators on…

math.CA2010

Paths of inner-related functions

Artur Nicolau, Daniel Suárez

We characterize the connected components of the subset $\cni$ of $H^{\infty}$ formed by the products $bh$ , where $b$ is Carleson-Newman Blaschke product and $h \in H^{\infty}$ is an inv…

math.FA2010★ 1 cited

Orbits of non-elliptic disc automorphisms

Eva A. Gallardo-Gutiérrez, Pamela Gorkin, Daniel Suárez

Motivated by the Invariant Subspace Problem, we describe explicitly the closed subspace $H^{2}$ generated by the limit points in the $H^{2}$ norm of the orbit of a thin Blaschke produc…

math.FA2007★ 31 cited

The eigenvalues of limits of radial Toeplitz operators

Daniel Suárez

Let $A^{2}$ be the Bergman space on the unit disk. A bounded operator $S$ on $A^{2}$ is called radial if $S z^{n} = λ_{n} z^{n}$ for all $n \geq 0$ , where $λ_{n}$ is a bounded sequence of complex…

Frames of iterations and vector-valued model spaces

On the analytic structure of the H∞ maximal ideal space

Multi-orbital frames through model spaces

A generalization of Toeplitz operators on the Bergman space

Paths of inner-related functions

Orbits of non-elliptic disc automorphisms

The eigenvalues of limits of radial Toeplitz operators

On the analytic structure of the $H^{\infty}$ maximal ideal space