Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Duality of Bochner spaces   We construct the generalized Lebesgue--Bochner spaces $L^p(\mu,\varPi)$ for
positive measures $\mu$ and for suitable real or complex topological vector
spaces $\varPi$ so that for $1<p<+\infty$ and Banachable $\varPi$ with
separable topology the strong dual of the classical Bochner space
$L^p(\mu,\varPi)$ becomes canonically represented by
$L^{p^*}(\mu,\varPi_\sigma')\,$. Hence we need no separability assumption of
the norm topology of the strong dual $\varPi_\beta'$ of $\varPi$. For $p=1$ and
for suitably restricted positive measures $\mu$ we even get a similar result
without any separability of the norm topology of the target space $\varPi$. For
positive Radon measures on locally compact topological spaces these results are
essentially contained on pages 588--606 in R. E. Edwards' classical Functional
Analysis.

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The categories of this paper are: stat
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc