Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Complementary Lagrangians in Infinite Dimensional Symplectic Hilbert
  Spaces   Using the Spectral Theorem for unbounded self-adjoint operators we prove that
any countable family of Lagrangian subspaces of a symplectic Hilbert space
admits a common complementary Lagrangian.

1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci