Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Sandwich Theorem for Sublinear and Superlinear Functionals   The Hahn-Banach theorem is an extension theorem for linear functionals which
preserves certain properties. Specifically, if a linear functional is defined
on a subspace of a real vector space which is dominated by a sublinear
functional on the entire space, then this functional can be extended to a
linear functional on the entire space which is still dominated by a sublinear
functional. In this paper, we generalize this result to show that a linear
functional defined on a subspace of a real vector space which is dominated by a
sublinear functional and also dominates a superlinear functional on the entire
space can be extended to a linear functional on the entire space which is also
dominated by a sublinear functional and dominates a superlinear functional.

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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: supr-con
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: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph