Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized Polar Decompositions for Closed Operators in Hilbert Spaces
  and Some Applications   We study generalized polar decompositions of densely defined, closed linear
operators in Hilbert spaces and provide some applications to relatively (form)
bounded and relatively (form) compact perturbations of self-adjoint, normal,
and m-sectorial operators.

26
The categories of this paper are: bayes-an
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The categories of this paper are: eess
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics