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We study an extension of the sandwiched R\'enyi relative entropies for normal positive functionals on a von Neumann algebra, for parameter values $\alpha\in [1/2,1)$.
A Schwarz inequality for positive linear maps on C ∗ C^{\ast} -algebras
M. D. Choi · 1974
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Geometry of Banach Spaces - Selected Topics
J. Diestel · 1975
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Positive cones and L p L_{p} -spaces for von Neumann algebras
H. Araki and T. Masuda · 1982
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Applications of the complex interpolation method to a von Neumann algebra: Non-commutative L p L_{p} -spaces
H. Kosaki · 1984
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Applications of uniform convexity of noncommutative L p L^{p} -spaces
H. Kosaki · 1984
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Rényi divergences as weighted non-commutative vector valued L p L_{p} -spaces
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Quantum f f -divergences in von Neumann algebras. I. Standard f f -divergences
F. Hiai · 2018
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Rényi relative entropies and noncommutative L p L_{p} -spaces
A. Jenčová · 2018
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Optimized quantum f f -divergences and data processing
M. M. Wilde · 2018
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Interpolation of quasi noncommutative L p L_{p} -spaces
J. Gu, Z. Yin, and H. Zhang · 2019
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Quantum f f -divergences in von Neumann algebras
F. Hiai · 2020
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