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Perturbation bounds for angular sectors of spectra of unbounded operators

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Abstract

Let A and \(\tilde{A}\) be linear unbounded in general operators on a Hilbert space. We consider the following problem: let the spectrum of A lie in some angular sector. In what sector the spectrum of \(\tilde{A}\) lies, if A and \(\tilde{A}\) are sufficiently “close”? Illustrative examples are also presented.

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Acknowledgements

I am very grateful to the referee of this paper for his (her) deep and helpful remarks.

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  1. Department of Mathematics, Ben Gurion University of the Negev, P.O. Box 653, Beer-Sheva, 84105, Israel

    Michael Gil’

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  1. Michael Gil’
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Correspondence to Michael Gil’.

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Gil’, M. Perturbation bounds for angular sectors of spectra of unbounded operators. Ann Univ Ferrara 67, 73–81 (2021). https://doi.org/10.1007/s11565-021-00358-6

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