- 92-91 Carlen E.A., Lieb E.H.
- Optimal Hypercontractivity for Fermi Fields and Related Non-Commutative Integration
(59K, Plain TeX)
Jul 20, 92
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Abstract. Optimal hypercontractivity bounds for the fermion oscillator semigroup
are obtained. These are the fermion analogs of the optimal
hypercontractivity bounds for the boson oscillator semigroup obtained by Nelson.
In the process, several results of independent interest in the theory of
non-commutative integration are established.