On Boundedness and ∥•∥<i><sub>p</sub></i> Continuity of Second Quantisation

  • Huzihiro Araki

    Kyoto University, Japan
  • Kalyan B. Sinha

    New Delhi, India
  • Viakalathur S. Sunder

    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.

Cite this article

Huzihiro Araki, Kalyan B. Sinha, Viakalathur S. Sunder, On Boundedness and ∥•∥<i><sub>p</sub></i> Continuity of Second Quantisation. Publ. Res. Inst. Math. Sci. 31 (1995), no. 5, pp. 941–952

DOI 10.2977/PRIMS/1195163724