Triple operator version of the Golden-Thompson inequality for traces on von Neumann algebras
نویسندگان
چکیده
We provide a generalization of Lieb’s triple matrix extension the Golden–Thompson inequality from algebras to setting traces on finite von Neumann algebras. More precisely, assume that ℳ is algebra equipped with tracial state τ. If 1≤p,q≤∞ 1/p+1/q=1, it shown whenever a, b, and c are self-adjoint τ-measurable operators satisfying a∈ℳ, e b ∈L p (ℳ,τ), q then following holds:
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ژورنال
عنوان ژورنال: Annales de l'Institut Fourier
سال: 2023
ISSN: ['0373-0956', '1777-5310']
DOI: https://doi.org/10.5802/aif.3575