Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $q$-Frequent hypercyclicity in spaces of operators   We provide conditions for a linear map of the form $C_{R,T}(S)=RST$ to be
$q$-frequently hypercyclic on algebras of operators on separable Banach spaces.
In particular, if $R$ is a bounded operator satisfying the $q$-Frequent
Hypercyclicity Criterion, then the map $C_{R}(S)$=$RSR^*$ is shown to be
$q$-frequently hypercyclic on the space $\mathcal{K}(H)$ of all compact
operators and the real topological vector space $\mathcal{S}(H)$ of all
self-adjoint operators on a separable Hilbert space $H$. Further we provide a
condition for $C_{R,T}$ to be $q$-frequently hypercyclic on the Schatten von
Neumann classes $S_p(H)$. We also characterize frequent hypercyclicity of
$C_{M^*_\varphi,M_\psi}$ on the trace-class of the Hardy space, where the
symbol $M_\varphi$ denotes the multiplication operator associated to $\varphi$.

28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex