Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Embeddings of M\"{u}ntz spaces: the Hilbertian case   Given a strictly increasing sequence $\Lambda=(\lambda_n)$ of nonegative real
numbers, with $\sum_{n=1}^\infty \frac{1}{\lambda_n}<\infty$, the M\"untz
spaces $M_\Lambda^p$ are defined as the closure in $L^p([0,1])$ of the
monomials $x^{\lambda_n}$. We discuss properties of the embedding
$M_\Lambda^p\subset L^p(\mu)$, where $\mu$ is a finite positive Borel measure
on the interval $[0,1]$. Most of the results are obtained for the Hilbertian
case $p=2$, in which we give conditions for the embedding to be bounded,
compact, or to belong to the Schatten--von Neumann ideals.

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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: cs
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The categories of this paper are: stat
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The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
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The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg