Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multiplicative properties of positive maps   Let $\phi$ be a positive unital normal map of a von Neumann algebra $M$ into
itself, and assume there is a family of normal $\phi$-invariant states which is
faithful on the von Neumann algebra generated by the image of $\phi$. It is
shown that there exists a largest Jordan subalgebra $C_\phi$ of $M$ such that
the restriction of $\phi$ to $C_\phi$ is a Jordan automorphhism, and each weak
limit point of $(\phi^n (a))$ for $a\in M$ belongs to $C_\phi$.

22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin