Publications of the Research Institute for Mathematical Sciences
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Published online: 1995-10-31
On Boundedness and ∥•∥p Continuity of Second QuantisationHuzihiro Araki, Kalyan B. Sinha and Viakalathur S. Sunder (1) Kyoto University, Japan
(2) New Delhi, India
(3) Indian Statistical Institute, Bangalore, India
In this short note, we determine precisely which operators have the property that their (full, symmetric or antisymmetric) second quantisation is an operator which is bounded or belongs to one of the various Schatten ideals; we also note that in 'the interior' of the natural domain, the second quantisation is a continuous map.
Araki Huzihiro, Sinha Kalyan, Sunder Viakalathur: On Boundedness and ∥•∥p Continuity of Second Quantisation. Publ. Res. Inst. Math. Sci. 31 (1995), 941-952. doi: 10.2977/prims/1195163724