Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interpolation of compact bilinear operators   We investigate the stability of compactness of bilinear operators acting on
the product of interpolation of Banach spaces. We develop a general framework
for such results and our method applies to abstract methods of interpolation in
the senseof Aronszajn and Gagliardo. A key step is to show an one-sided
bilinear interpolation theorem on compactness for bilinear operators on couples
satisfying an approximation property. We show applications to general cases,
including Peetre's method and the general real interpolation methods.

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The categories of this paper are: solv-int
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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio