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arXiv · 1511.02329

A note on approximation of operator semigroups

Jochen Glück
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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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Jochen Glück. 2016-01-26. A note on approximation of operator semigroups. https://arxiv.org/abs/1511.02329

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