Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extensions of dissipative operators with closable imaginary part   Given a dissipative operator $A$ on a complex Hilbert space $\mathcal{H}$
such that the quadratic form $f\mapsto \mbox{Im}\langle f,Af\rangle$ is
closable, we give a necessary and sufficient condition for an extension of $A$
to still be dissipative. As applications, we describe all maximally accretive
extensions of strictly positive symmetric operators and all maximally
dissipative extensions of a highly singular first-order operator on the
interval.

9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex