Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inner vectors for Toeplitz operators   In this paper we survey and bring together several approaches to obtaining
inner functions for Toeplitz operators. These approaches include the classical
definition, the Wold decomposition, the operator-valued Poisson Integral, and
Clark measures. We then extend these notions somewhat to inner functions on
model spaces. Along the way we present some novel examples.

18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys