Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Measurable selector in Kadison's carpenter's theorem   We show the existence of a measurable selector in Carpenter's Theorem due to
Kadison. This solves a problem posed by Jasper and the first author. As an
application we obtain a characterization of all possible spectral functions of
shift-invariant subspaces of $L^2(\mathbb R^d)$ and Carpenter's Theorem for
type I$_\infty$ von Neumann algebras.

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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
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The categories of this paper are: astro-ph
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: hep-th
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The categories of this paper are: nlin