Kruse, KarstenKarstenKruse2026-07-222026-07-222026-07-14Banach Journal of Mathematical Analysis 20 (3): 23-40 (2026)https://hdl.handle.net/11420/63946We study the problem of existence and uniqueness of isometric Banach preduals of a Banach space. We derive necessary and sufficient conditions for the existence of an isometric Banach predual of a Banach space X. Then we focus on the case that X = F(Ω) is a Banach space of scalar-valued functions on a non-empty set Ω and describe those spaces which admit a special isometric Banach predual, namely a strong isometric Banach linearisation, i.e. there are a Banach space Y , a map δ∶Ω → Y and an isometric isomorphism T∶F(Ω) → Y* such that T(f)○δ = f for all f ∈ F(Ω). Finally, we give necessary and sufficient conditions for Banach spaces F(Ω) with a strong isometric Banach linearisation to have a (strongly) unique isometric Banach predual.en1735-878720263123Springerhttps://creativecommons.org/licenses/by/4.0/dual spacepreduallinearisationuniquenessisometricSaks spaceNatural Sciences and Mathematics::515: AnalysisJournal Article10.1007/s43037-026-00506-010.15480/882.175082307.16299