Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Resolvent criteria for similarity to a normal operator with spectrum on
  a curve   We give some new criteria for a Hilbert space operator with spectrum on a
smooth curve to be similar to a normal operator, in terms of pointwise and
integral estimates of the resolvent. These results generalize criteria of
Stampfli, Van Casteren and Naboko, and answer several questions posed by
Stampfli. The main tools are from our recent results on dilation to the
boundary of the spectrum, along with the Dynkin functional calculus for smooth
functions, which is based on pseudoanalytic continuation.

12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph