On Boundedness and $\|\cdot \|_p$ Continuity of Second Quantisation

Huzihiro Araki; Kalyan B. Sinha; Viakalathur S. Sunder

doi:10.2977/prims/1195163724

JournalsprimsVol. 31, No. 5pp. 941–952

On Boundedness and $∥ \cdot ∥_{p}$ Continuity of Second Quantisation

Huzihiro Araki
Kyoto University, Japan
Kalyan B. Sinha
New Delhi, India
Viakalathur S. Sunder
Indian Statistical Institute, Bangalore, India

$On Boundedness and $\|\cdot \|_p$ Continuity of Second Quantisation cover$

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Abstract

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 $∥ \cdot ∥_{p}$ Continuity of Second Quantisation. Publ. Res. Inst. Math. Sci. 31 (1995), no. 5, pp. 941–952

DOI 10.2977/PRIMS/1195163724