Invariance of the essential spectra of operator pencils

Gernandt, Hannes; Moalla, Nedra; Philipp, Friedrich; Selmi, Wafa; Trunk, Carsten GND

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, Hannes / Moalla, Nedra / Philipp, Friedrich / et al: Invariance of the essential spectra of operator pencils. Ilmenau 2019.

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