Quantum hockey stick f-divergences are extended to general von Neumann algebras, with regularized Rényi versions shown to coincide with standard Petz and sandwiched Rényi divergences.
Takesaki.Theory of operator algebras I, volume 124 ofEncyclopaedia of Mathematical Sciences
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Hockey stick $f$-divergences
Quantum hockey stick f-divergences are extended to general von Neumann algebras, with regularized Rényi versions shown to coincide with standard Petz and sandwiched Rényi divergences.