Invariance of the essential spectra of operator pencils (Q2220156)

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Invariance of the essential spectra of operator pencils
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    Invariance of the essential spectra of operator pencils (English)
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    21 January 2021
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    The authors investigate sufficient conditions in terms of the operator coefficients of two pencils which guarantee the same essential spectrum. Four kinds of essential spectra are considered, the Fredholm essential spectrum, the upper and the lower semi-Fredholm essential spectrum and the semi-Fredholm essential spectrum. For the entire collection see [Zbl 1455.47001].
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    operator pencil
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    essential spectrum
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    linear relations
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    singular sequence
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    Fredholm operator
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    pseudo-inverse
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