A note on approximation of operator semigroups

2015/11/07 by Glück, Jochen
#47A10 #47D06 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1511.02329

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 ≥ 0} converges to a semigroup on a subspace of X as k → ∞ and we compute the limit semigroup.

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