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arXiv:2102.13259 [math.FA]AbstractReferencesReviewsResources

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 Nakasato

Published 2021-02-26Version 1

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

Comments: 11 pages
Categories: math.FA
Subjects: 47A12, 47B02, 47B93
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