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math.FA2019★ 4 cited
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…