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7 papers · 1 filter
The numerical range of periodic banded Toeplitz operators
Benjamín A. Itzá-Ortiz, Rubén A. Martínez-Avendaño, Hiroshi Nakazato
We prove that the closure of the numerical range of a -periodic and -banded Toeplitz operator can be expressed as the closure of the convex hull of the uncountable u…
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 some periodic tridiagonal operators is the convex hull of the numerical ranges of two finite matrices
Benjamín A. Itzá-Ortiz, Rubén A. Martínez-Avendaño, Hiroshi Nakazato
In this paper we prove a conjecture stated by the first two authors establishing the closure of the numerical range of a certain class of -periodic tridiagonal operators as th…
The numerical range of a periodic tridiagonal operator reduces to the numerical range of a finite matrix
Benjamín A. Itzá-Ortiz, Rubén A. Martínez-Avendaño, Hiroshi Nakazato
In this paper we show that the closure of the numerical range of an -periodic tridiagonal operator is equal to the numerical range of a complex matrix.
On Docile Spaces, Mackey First Countable Spaces, and Sequentially Mackey First Countable Spaces
Carlos Bosch Giral, César L. García, Thomas E. Gilsdorf +2
In this article we discuss the relationship between three types of locally convex spaces: docile spaces, Mackey first countable spaces, and sequentially Mackey first countable spac…
Eventually constant intertwining linear maps between complete locally convex spaces
Carlos Bosch Giral, César L. García, Thomas E. Gilsdorf +2
Starting from Sinclair's 1976 work {\it Automatic Continuity of Linear Operators}, Cambridge University Press, (1976), on automatic continuity of linear operators on Banach spaces,…