Abstract
The essential spectrum of operator pencils with bounded coefficients in a Hilbert space is studied. Sufficient conditions in terms of the operator coefficients of two pencils are derived which guarantee the same essential spectrum. This is done by exploiting a strong relation between an operator pencil and a specific linear subspace (linear relation).
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Gernandt, H., Moalla, N., Philipp, F., Selmi, W., Trunk, C. (2020). Invariance of the Essential Spectra of Operator Pencils. In: Curto, R.E., Helton, W., Lin, H., Tang, X., Yang, R., Yu, G. (eds) Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology . Operator Theory: Advances and Applications, vol 278. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-43380-2_10
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DOI: https://doi.org/10.1007/978-3-030-43380-2_10
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