Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Arveson's extension theorem in *-algebras   Arveson's extension theorem asserts that B(H) is an injective object in the
category of operator systems. Calling every self adjoint unital subspace of a
unital *-algebra, a quasi operator system, we show that Arveson's theorem
remains valid in the much larger category of quasi operator systems. This shows
that Arveson's theorem as a non commutative extension of Hahn-Banach theorem,
is of purely algebraic nature.

20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph