Rényi Relative Entropies and Noncommutative $$L_p$$ L p -Spaces
نویسندگان
چکیده
منابع مشابه
Rényi divergences as weighted non-commutative vector valued $L_p$-spaces
We show that Araki and Masuda’s weighted non-commutative vector valued Lp-spaces [Araki & Masuda, Publ. Res. Inst. Math. Sci., 18:339 (1982)] correspond to an algebraic generalization of the sandwiched Rényi divergences with parameter α = p 2 . Using complex interpolation theory, we prove various fundamental properties of these divergences in the setup of von Neumann algebras, including a data ...
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ژورنال
عنوان ژورنال: Annales Henri Poincaré
سال: 2018
ISSN: 1424-0637,1424-0661
DOI: 10.1007/s00023-018-0683-5