Perturbations of KMS states and noncommutative Lp-spaces

Correa da Silva R (2019)

Publication Language: English

Publication Type: Journal article, Original article

Publication year: 2019

Journal

Journal of Mathematical Physics American Institute of Physics (AIP)

Book Volume: 60

Article Number: 081707

URI: https://aip.scitation.org/doi/full/10.1063/1.5099066

DOI: 10.1063/1.5099066

Abstract

We extend the theory of perturbations of KMS states to a class of unbounded perturbations using noncommutative Lp-spaces. We also prove certain stability of the domain of the modular operator associated with a ∥·∥p-continuous state. This allows us to define an analytic multiple-time KMS condition and to obtain its analyticity together with some bounds to its norm.

Authors with CRIS profile

Ricardo Correa da Silva

Involved external institutions

University of São Paulo / Universidade de São Paulo (USP) BR Brazil (BR)

How to cite

APA:

Correa da Silva, R. (2019). Perturbations of KMS states and noncommutative Lp-spaces. Journal of Mathematical Physics, 60. https://dx.doi.org/10.1063/1.5099066

MLA:

Correa da Silva, Ricardo. "Perturbations of KMS states and noncommutative Lp-spaces." Journal of Mathematical Physics 60 (2019).

BibTeX: Download