HYPERCONTRACTIVITY VIA SPECTRAL THEORY
- 1 March 2000
- journal article
- Published by World Scientific Pub Co Pte Ltd in Infinite Dimensional Analysis, Quantum Probability and Related Topics
- Vol. 3 (1), 15-31
- https://doi.org/10.1142/s0219025700000030
Abstract
We prove hypercontractivity via spectral theory in a number of infinite dimensional models including the one-dimensional Ising model with nearest neighbours interaction and some non-commutative spin systems.Keywords
This publication has 3 references indexed in Scilit:
- Hypercontractivity in Noncommutative LpSpacesJournal of Functional Analysis, 1999
- Log-Sobolev inequalities for infinite one dimensional lattice systemsCommunications in Mathematical Physics, 1990
- Logarithmic Sobolev InequalitiesAmerican Journal of Mathematics, 1975