Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Douglas property for multiplier algebras of operators   For a collection of reproducing kernels k which includes those for the Hardy
space of the polydisk and ball and for the Bergman space, k is a complete Pick
kernel if and only if the multiplier algebra of the Hilbert space H^2(k)
associated to k has the Douglas property. Consequences for solving the operator
equation AX=Y are examined.

8
The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th