3 papers
math.GM2024
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…
math.FA2019
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…
math.FA2019
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…