Abstract
In this section we will investigate the spectra of monic quadratic operator pencils which include a term corresponding to gyroscopic forces. We also admit presence of essential spectrum. Our operator pencil is
acting in a Hilbert space H with domain \( D\left( {L\left( \lambda \right)} \right) = D\left( K \right) \cap D\left( B \right) \cap D\left( A \right), \) where the operators K, B, A satisfy the following conditions.
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© 2015 Springer International Publishing Switzerland
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Möller, M., Pivovarchik, V. (2015). Operator Pencils with a Gyroscopic Term. In: Spectral Theory of Operator Pencils, Hermite-Biehler Functions, and their Applications. Operator Theory: Advances and Applications, vol 246. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-17070-1_4
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DOI: https://doi.org/10.1007/978-3-319-17070-1_4
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-17069-5
Online ISBN: 978-3-319-17070-1
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