OPTIMAL HYPERCONTRACTIVITY FOR FERMI FIELDS AND RELATED NONCOMMUTATIVE INTEGRATION INEQUALITIES

Authors
CARLEN EA LIEB EH
Citation
Ea. Carlen et Eh. Lieb, OPTIMAL HYPERCONTRACTIVITY FOR FERMI FIELDS AND RELATED NONCOMMUTATIVE INTEGRATION INEQUALITIES, Communications in Mathematical Physics, 155(1), 1993, pp. 27-46
Citations number
34
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
155
Issue
1
Year of publication
1993
Pages
27 - 46
Database
ISI
SICI code
0010-3616(1993)155:1<27:OHFFFA>2.0.ZU;2-U
Abstract
Optimal hypercontractivity bounds for the fermion oscillator semigroup are obtained. These are the fermion analogs of the optimal hypercontr activity 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.