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Jensen inequalities for positive linear maps of Choi and Hansen-Pedersen type are established for a large class of operator/matrix means.
D. V. Widder, The Laplace Transform
1946
Earlier work this paper cites.
M.-D. Choi, A Schwarz inequality for positive linear maps on C ∗ C^{*} -algebras, Illinois J. Math
1974
Earlier work this paper cites.
T. Ando, Concavity of certain maps on positive definite matrices and applications to Hadamard products, Linear Algebra Appl
1979
Earlier work this paper cites.
A. W. Marshall and I. Olkin, Inequalities: Theory of Majorization and Its Applications
1979
Earlier work this paper cites.
F. Kubo and T. Ando, Means of positive linear operators, Math. Ann
1980
Earlier work this paper cites.
F. Hansen and G. K. Pedersen, Jensen’s inequality for operators and Löwner’s theorem, Math. Ann
1982
Earlier work this paper cites.
T. Ando and F. Hiai, Log majorization and complementary Golden-Thompson type inequalities, Linear Algebra Appl
1994
Earlier work this paper cites.
R. Bhatia, Matrix Analysis
1996
Cited alongside, same era.
F. Hiai and H. Kosaki, Means for matrices and comparison of their norms, Indiana Univ. Math. J
1999
Cited alongside, same era.
C.-K. Li and R. Mathias, The Lidskii-Mirsky-Wielandt theorem – additive and multiplicative versions, Numer. Math
1999
Cited alongside, same era.
F. Hiai and H. Kosaki, Means of Hilbert Space Operators
2003
Cited alongside, same era.
K.-T. Sturm, Probability measures on metric spaces of nonpositive curvature, in: Heat Kernels and Analysis on Manifolds, Graphs, and Metric Spaces
2003
Cited alongside, same era.
T. Ando, C.-K. Li and R. Mathias, Geometric means, Linear Algebra Appl
2004
Cited alongside, same era.
J.-C. Bourin, Hermitian operators and convex functions, J. Inequal. Pure Appl. Math
2005
Later among the works it cites.
M. Moakher, A differential geometric approach to the geometric mean of symmetric positive definite matrices, SIAM J. Matrix Anal. Appl
2005
Later among the works it cites.
R. Bhatia and J. A. R. Holbrook, Riemannian geometry and matrix geometric means, Linear Algebra. Appl
2006
Later among the works it cites.
R. Bhatia, Positive Definite Matrices
2007
Later among the works it cites.
F. Hiai, Matrix Analysis: Matrix Monotone Functions, Matrix Means, and Majorization (GSIS selected lectures), Interdisciplinary Information Sciences
2010
Later among the works it cites.
R. Bhatia and R. L. Karandikar, The matrix geometric mean, Preprint, 2011
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J.-C. Bourin and F. Hiai, Norm and anti-norm inequalities for positive semi-definite matrices, Internat. J. Math
Cited in the paper.
J.-C. Bourin and E.-Y. Lee, Unitary orbits of Hermitian operators with convex or concave functions, preprint
Cited in the paper.
F. Hiai, M. Mosonyi, D. Petz and C. Bény, Quantum f f -divergences and error correction, Rev. Math. Phys
Cited in the paper.
J. Lawson and Y. Lim, Monotonic properties of the least squares mean, Math. Ann
Cited in the paper.
2011
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