This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.Renger, D. R. MichielSchindler, Stefanie2022-07-052022-07-052021https://oa.tib.eu/renate/handle/123456789/9599https://doi.org/10.34657/8637We study linear evolution equations in separable Hilbert spaces defined by a bounded linear operator. We answer the question which of these equations can be written as a gradient flow, namely those for which the operator is real diagonalisable. The proof is constructive, from which we also derive geodesic lambda-convexity.eng510Linear evolution equationgradient systemgradient flowspectral theorygeodesic lambda-convexityReport9 S.