49 citations · 62 across the 8 of their papers we have counts for
8 papers
The Intermediate Value Theorem for Linear Transformations
Ruben A. Martinez-Avendaño
If a real-valued function is continuous on a real interval and it takes on two different values, then it will also take any value in between those two, by the Intermediate Value Th…
Composition Operators on the Little Lipschitz space of a rooted tree
Flavia Colonna, Rubén A. Martínez-Avendaño
In this work, we study the composition operators on the little Lipschitz space of a rooted tree , defined as the subspace of the Lipschitz space …
The Forward and Backward Shift on the Hardy Space of a Tree
Adán Ángeles-Romero, Rubén A. Martínez Avendaño
In this paper we initiate the study of the forward and backward shifts on the Hardy space of a tree and the little Hardy space of a tree. In particular, we investigate when these s…
Hypercyclicity of composition operators on discrete weighted Banach spaces
Robert F. Allen, Flavia Colonna, Rubén A. Martínez-Avendaño +1
In this paper, we study the hypercyclic composition operators on weighted Banach spaces of functions defined on discrete metric spaces. We show that the only such composition opera…
The numerical range of a class of periodic tridiagonal operators
Benjamín A. Itzá-Ortiz, Rubén A. Martínez-Avendaño
In this paper we compute the closure of the numerical range of certain periodic tridiagonal operators. This is achieved by showing that the closure of the numerical range of such o…
The forward and backward shift on the Lipschitz space of a tree
Emmanuel Rivera-Guasco, Rubén A. Martínez-Avendaño
We initiate the study of the forward and backward shifts on the Lipschitz space of a tree, , and on the little Lipshitz space of a tree, . We determine…
Inner Products on the Space of Complex Square Matrices
Rubén A. Martínez-Avendaño, Josué I. Rios-Cangas
In this paper we study the problem of finding explicit expressions for inner products on the space of complex square matrices $\Mn$. We show that, given an inner product $\lip \cdo…
Subspace hypercyclicity
Blair Madore, Rubén A. Martínez Avendaño
A bounded linear operator T on Hilbert space is subspace-hypercyclic for a subspace M if there exists a vector whose orbit under T intersects the subspace in a relatively dense set…