Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bilocal *-automorphisms of B(H) satisfying the 3-local property   We prove that, for a complex Hilbert space $H$ with dimension bigger or equal
than three, every linear mapping $T: B(H)\to B(H)$ satisfying the 3-local
property is a $^*$-monomorphism, that is, every linear mapping $T: B(H) \to
B(H)$ satisfying that for every $a$ in $B(H)$ and every $\xi,\eta$ in $H$,
there exists a $^*$-automorphism $\pi_{a,\xi,\eta}: B(H)\to B(H)$, depending on
$a$, $\xi$, and $\eta$, such that $$T(a) (\xi) = \pi_{a,\xi,\eta} (a) (\xi),
\hbox{ and } T(a) (\eta) = \pi_{a,\xi,\eta} (a) (\eta),$$ is a
$^*$-monomorphism. This solves a question posed by L. Moln\'ar in [\emph{Arch.
Math.} \textbf{102}, 83-89 (2014)].

36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio