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I am looking for some references on Bochner spaces containing basic stuff such as measurability, convergence and $L^p$ theory. I already have the Analysis in Banach Spaces: Volume I book which covers quite well the theory but I would like some other reference, one possibly containing more applications on evolution problems and convergence in $L^p(S,X)$. Any suggestions?

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    $\begingroup$ What about the classics Dunford/Schwartz or Diestel/Uhl? $\endgroup$
    – Dirk Werner
    Commented Jun 3, 2020 at 17:20
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    $\begingroup$ Diestel, J.; Uhl, J. J., Jr. Vector measures. Mathematical Surveys, No. 15. American Mathematical Society, Providence, R.I., 1977. $\endgroup$
    – Piotr Hajlasz
    Commented Jun 4, 2020 at 2:03

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