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Do you know of a good reference for a proof of the fact that $L^2(0,T,L^2(\Omega))$ and to $L^2([0,T]\times \Omega)$ can be identified?

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    $\begingroup$ Have a look at Proposition 1.2.24 in T. Hytonen, J. Van Neerven, M. Veraar and L. Weis, Analyis in Banach spaces Vol I, Springer, $\endgroup$
    – Giorgio Metafune
    Commented May 18, 2022 at 12:52
  • $\begingroup$ @GiorgioMetafune Can you please post your comment as an answer? I will then accept it, and mark my question as concluded. $\endgroup$
    – Lilla
    Commented Mar 1, 2023 at 12:54

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