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- W1567383425 abstract "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 $$varphi $$ ." @default.
- W1567383425 created "2016-06-24" @default.
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- W1567383425 date "2016-12-03" @default.
- W1567383425 modified "2023-09-24" @default.
- W1567383425 title "q-Frequent hypercyclicity in spaces of operators" @default.
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- W1567383425 doi "https://doi.org/10.1007/s00605-016-1006-x" @default.
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