The Hölder Inequality for KMS States

Abstract

We prove a Hölder inequality for KMS States, which generalises a well-known trace-inequality. Our results are based on the theory of non-commutative $L_p$-spaces.

10 pages

References in corpus (1)

• The relativistic KMS condition for the thermal n-point functions of the P(ϕ)_2 model

Cited by in corpus (2)

• Trace- and improved data processing inequalities for von Neumann algebras
• The relativistic KMS condition for the thermal n-point functions of the P(ϕ)_2 model