Abstract
Let A be a bounded linear operator and P a bounded linear projection on a Banach space X. We show that the operator semigroup \({(e^{t(A-kP)})_{t \ge 0}}\) converges to a semigroup on a subspace of X as \({k \to \infty}\) and we compute the limit semigroup.
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While part of this work was done the author was supported by a scholarship of the “Landesgraduierten-Förderung Baden-Württemberg”.
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Glück, J. A note on approximation of operator semigroups. Arch. Math. 106, 265–273 (2016). https://doi.org/10.1007/s00013-015-0861-3
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DOI: https://doi.org/10.1007/s00013-015-0861-3