The numerical range of a periodic tridiagonal operator reduces to the numerical range of a finite matrix

Abstract

In this paper we show that the closure of the numerical range of an $n+1$-periodic tridiagonal operator is equal to the numerical range of a $2(n+1)\times 2(n+1)$ complex matrix.

14 pages

References in corpus (1)

• The Eigenvalues of Tridiagonal Sign Matrices are Dense in the Spectra of Periodic Tridiagonal Sign Operators

Cited by in corpus (1)

• The numerical range of periodic banded Toeplitz operators