Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: G\^Ateaux-Differentiability of Convex Functions in Infinite Dimension   It is well known that in $R^n$ , G{\^a}teaux (hence Fr{\'e}chet)
differ-entiability of a convex continuous function at some point is equivalent
to the existence of the partial derivatives at this point. We prove that this
result extends naturally to certain infinite dimensional vector spaces, in
particular to Banach spaces having a Schauder basis.

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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: hep-th
3
The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
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The categories of this paper are: supr-con
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The categories of this paper are: chao-dyn