Abstract
We investigate the behavior of infinite-time admissibility under compact perturbations. We show, by means of two completely different examples, that infinite-time admissibility is not preserved under compact perturbations Q of the underlying semigroup generator A, even if A and A + Q both generate strongly stable semigroups.
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Schmid, J. (2020). Infinite-time admissibility under compact perturbations. In: Kerner, J., Laasri, H., Mugnolo, D. (eds) Control Theory of Infinite-Dimensional Systems. Operator Theory: Advances and Applications(), vol 277. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-35898-3_3
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DOI: https://doi.org/10.1007/978-3-030-35898-3_3
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-030-35897-6
Online ISBN: 978-3-030-35898-3
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