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2015 | OriginalPaper | Chapter

Sharp Spectral Estimates for Periodic Matrix-Valued Jacobi Operators

Author : Anton A. Kutsenko

Published in: Mathematical Technology of Networks

Publisher: Springer International Publishing

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Abstract

For the periodic matrix-valued Jacobi operator J we obtain the estimate of the Lebesgue measure of the spectrum \(\mathrm{mes}(\sigma (J))\leqslant 4\min _{n}\mathop{ \mathrm{Tr}}\nolimits (a_{n}a_{n}^{{\ast}})^{\frac{1} {2} }\), where a n are off-diagonal elements of J.

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Metadata
Title
Sharp Spectral Estimates for Periodic Matrix-Valued Jacobi Operators
Author
Anton A. Kutsenko
Copyright Year
2015
Book
Mathematical Technology of Networks

Print ISBN: 978-3-319-16618-6

Electronic ISBN: 978-3-319-16619-3

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-3-319-16619-3_9

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