Hypercontractivity in Noncommutative LpSpaces

Logarithmic Sobolev Inequalities

Leonard Gross · American Journal of Mathematics · 1975 · 1.8K citations

Logarithmic Sobolev Inequalities, Elliptic Equation, Variational Inequality +1

Sharp uniform convexity and smoothness inequalities for trace norms

Keith Ball, Eric A. Carlen, Élliott H. Lieb · Inventiones mathematicae · 1994 · 307 citations

Variational Analysis, Norm (Mathematics), Sharp Uniform Convexity +2

Dirichlet Forms and Markovian Semigroups on Standard Forms of von Neumann Algebras

Fabio Cipriani · Journal of Functional Analysis · 1997 · 97 citations

Spectral Theory, Dirichlet Form, Topological Semigroups +9

Optimal hypercontractivity for fermi fields and related non-commutative integration inequalities

Eric A. Carlen, Élliott H. Lieb · Communications in Mathematical Physics · 1993 · 93 citations · Full text

Variational Analysis, Physics, Fermi Fields +4

Hypercontractivity and logarithmic Sobolev inequalities for the Clifford-Dirichlet form

Leonard Gross · Duke Mathematical Journal · 1975 · 87 citations

Dirichlet Form, Elliptic Equation, Functional Analysis +1