Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the ranges of bimodule projections   We develop a symbol calculus for normal bimodule maps over a masa that is the
natural analogue of the Schur product theory. Using this calculus we are able
to easily give a complete description of the ranges of contractive normal
bimodule idempotents that avoids the theory of J*-algebras. We prove that if
$P$ is a normal bimodule idempotent and $\|P\| < 2/\sqrt{3}$ then $P$ is a
contraction. We finish with some attempts at extending the symbol calculus to
non-normal maps.

1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat