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Does there exist any isometric imbedding of $L^1(a,b;H^*)$ into the dual space of $L^{\infty}(a,b;H)$ where $H$ is a separable Hilbert space and $H^*$ denotes its dual?

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    I am not really familiar with the latter of these two spaces. What is wrong with using the “obvious” duality between these two spaces?2012-08-24
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    @Markus: your accounts have been merged. In the future, please do not use answers to make comments. You can comment on answers to your own questions, but to make sure you keep logging into the same account you should register.2012-08-25

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