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We show that Araki and Masuda's weighted non-commutative vector valued $L_p$-spaces [Araki \& Masuda, Publ.
Positive Functions On C*-Algebras
W. F. Stinespring · 1955
Earlier work this paper cites.
Conditional Expectation in an Operator Algebra
H. Umegaki · 1962
Earlier work this paper cites.
Proof of the Strong Subadditivity of Quantum-Mechanical Entropy
E. H. Lieb and M. B. Ruskai · 1973
Earlier work this paper cites.
On the duality condition for a Hermitian scalar field
J. J. Bisognano and E. H. Wichmann · 1975
Earlier work this paper cites.
Relative Entropy of States of von Neumann Algebras
B. H. Araki · 1976
Earlier work this paper cites.
Inequalities for the Moments of the Eigenvalues of the Schrödinger Hamiltonian and Their Relation to Sobolev Inequalities
E. H. Lieb and W. E. Thirring · 1976
Earlier work this paper cites.
The Transition Probability in the State Space of a *-algebra
A. Uhlmann · 1976
Earlier work this paper cites.
Relative entropy and the Wigner-Yanase-Dyson-Lieb concavity in an interpolation theory
A. Uhlmann · 1977
Earlier work this paper cites.
Lp-Spaces Associated with an Arbitrary von Neumann Algebra
U. Haagerup · 1979
Earlier work this paper cites.
Theory of Operator Algebras I
M. Takesaki · 1979
Earlier work this paper cites.
Positive Cones and Lp-Spaces for von Neumann Algebras
H. Araki and T. Masuda · 1982
Earlier work this paper cites.
A Note on the Transition Probability over C*-Algebras
P. M. Alberti · 1983
Earlier work this paper cites.
Applications of the complex interpolation method to a von Neumann algebra: Non-commutative Lp-spaces
H. Kosaki · 1984
Earlier work this paper cites.
Quasientropies for States of a von Neumann Algebra
D. Petz · 1985
Earlier work this paper cites.
Quasi-entropies for Finite Quantum Systems
D. Petz · 1986
Cited alongside, same era.
On an Inequality of Lieb and Thirring
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Cited alongside, same era.
An Inequality of Araki-Lieb-Thirring (Von Neumann Algebra Case)
H. Kosaki · 1992
Cited alongside, same era.
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Cited alongside, same era.
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On Quantum Rényi Entropies: A New Generalization and Some Properties
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Strong Converse for the Classical Capacity of Entanglement-Breaking and Hadamard Channels via a Sandwiched Rényi Relative Entropy
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α \alpha -z-Relative Renyi Entropies
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M. Berta, K. Seshadreesan, and M. Wilde · 2015
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F. Hansen and G. K. Pedersen · 2003
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G. Pisier and Q. Xu · 2003
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Theory of Operator Algebras II
M. Takesaki · 2003
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Min- and Max- Relative Entropies and a New Entanglement Monotone
N. Datta · 2009
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A Reduction Method for Noncommutative Lp-spaces and Applications
U. Haagerup, M. Junge, and Q. Xu · 2009
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Entropic Fluctuations in Quantum Statistical Mechanics — An Introduction
V. Jaksic, Y. Ogata, Y. Pautrat, and C. A. Pillet · 2012
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Quantum Hypothesis Testing and the Operational Interpretation of the Quantum Rényi Relative Entropies
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