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math.FA2023
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…
math.CO2023
Numerical ranges of cyclic shift matrices
Mao-Ting Chien, Steve Kirkland, Chi-Kwong Li +1
We study the numerical range of an cyclic shift matrix, which can be viewed as the adjacency matrix of a directed cycle with weighted arcs. In particular, we consid…