Seifert, ChristianChristianSeifertTrostorff, SaschaSaschaTrostorffWaurick, MarcusMarcusWaurick2022-02-222022-02-222022Operator Theory: Advances and Applications 287: 31-49 (2022)http://hdl.handle.net/11420/11745It is the aim of this chapter to define a derivative operator on a suitable L2-space, which will be used as the derivative with respect to the temporal variable in our applications. As we want to deal with Hilbert space-valued functions, we start by introducing the concept of Bochner–Lebesgue spaces, which generalises the classical scalar-valued Lp-spaces to the Banach space-valued case.enhttps://creativecommons.org/licenses/by/4.0/TechnikBook Part10.15480/882.417210.1007/978-3-030-89397-2_310.15480/882.4172Book Chapter