DOI10.4036/iis.2010.139zbMath1206.15019OpenAlexW2077741783MaRDI QIDQ3057868
Fumio Hiai
Publication date: 17 November 2010
Published in: Interdisciplinary Information Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4036/iis.2010.139
A generalization of Araki's log-majorization ⋮
A survey on operator monotonicity, operator convexity, and operator means ⋮
Certain integral inequalities involving tensor products, positive linear maps, and operator means ⋮
Log-majorization Type Inequalities ⋮
Cauchy–Schwarz Operator and Norm Inequalities for Inner Product Type Transformers in Norm Ideals of Compact Operators, with Applications ⋮
Matrix inequalities and majorizations around Hermite–Hadamard’s inequality ⋮
On numerical range and numerical radius of convex function operators ⋮
Log-majorizations for the (symplectic) eigenvalues of the Cartan barycenter ⋮
Concavity of certain matrix trace and norm functions ⋮
On matrix inequalities between the power means: counterexamples ⋮
Perturbation norm inequalities for elementary operators generated by analytic functions with positive Taylor coefficients ⋮
Quantum f-divergences in von Neumann algebras. I. Standard f-divergences ⋮
General tail bounds for random tensors summation: majorization approach ⋮
A complementary result to the superadditivity of operator means ⋮
Matrix analysis and quantum information ⋮
Itô's formula for noncommutative \(C^2\) functions of free Itô processes ⋮
Positivity, betweenness, and strictness of operator means ⋮
Unitarily invariant norm inequalities for some means ⋮
Concavity of some operator functions and Fréchet differential mappings ⋮
Generalized log-majorization and multivariate trace inequalities ⋮
Positive definiteness and infinite divisibility of certain functions of hyperbolic cosine function ⋮
Non-linear traces on the algebra of compact operators and majorization ⋮
Remarks on absolute continuity of positive operators ⋮
Optimal Self-Concordant Barriers for Quantum Relative Entropies ⋮
Equality cases in monotonicity of quasi-entropies, Lieb’s concavity and Ando’s convexity ⋮
Non-linear traces on matrix algebras, majorization, unitarily invariant norms and 2-positivity ⋮
Channel divergences and complexity in algebraic QFT ⋮
Random Double Tensors Integrals ⋮
Operator geodesically convex functions and their applications ⋮
On the matrix Cauchy-Schwarz inequality ⋮
Operator θ$\theta$‐Hölder functions with respect to ∥·∥p$\Vert \cdot \Vert _p$, 0<p⩽∞$0< p\leqslant \infty$ ⋮
Cancellability and regularity of operator connections with applications to nonlinear operator equations involving means ⋮
Different quantum f-divergences and the reversibility of quantum operations ⋮
A class of norm inequalities for operator monotone functions and hyponormal operators ⋮
A binomial expansion formula for weighted geometric means of unipotent matrices ⋮
Loewner matrices of matrix convex and monotone functions ⋮
Noncommutative \(C^k\) functions and Fréchet derivatives of operator functions ⋮
Families of completely positive maps associated with monotone metrics ⋮
On a decomposition lemma for positive semi-definite block-matrices ⋮
Generalized reverse Cauchy inequality and applications to operator means ⋮
Log-majorization related to Rényi divergences ⋮
Quantum f-divergences in von Neumann algebras. II. Maximal f-divergences ⋮
Unnamed Item ⋮
Operator monotonicity of some functions ⋮
Convexity of quasi-entropy type functions: Lieb's and Ando's convexity theorems revisited ⋮
Jensen and Minkowski inequalities for operator means and anti-norms ⋮
Bounds of the logarithmic mean ⋮
Some refinements of classical inequalities ⋮
Higher order extension of Löwner’s theory: Operator 𝑘-tone functions ⋮
Contraction coefficients for noisy quantum channels ⋮
Inequalities for generalized derivations of operator monotone functions in norm ideals of compact operators ⋮
A new look at the Hardy-Littlewood-Pólya inequality of majorization ⋮
Concavity of certain matrix trace and norm functions. II. ⋮
Reciprocal Lie–Trotter formula ⋮
One-shot randomized and nonrandomized partial decoupling ⋮
Ando–Hiai-type inequalities for operator means and operator perspectives ⋮
Representations for the Bloch type semi-norm of Fréchet differentiable mappings ⋮
The logarithmic mean of two convex functionals ⋮
Operator means of probability measures ⋮
Characterization of operator convex functions by certain operator inequalities ⋮
Pusz-Woronowicz functional calculus and extended operator convex perspectives ⋮
Equality of norms for a class of Bloch and symmetrically weighted Lipschitz spaces of vector valued functions and derivation inequalities for Pick functions ⋮
New inequalities for interpolational operator means ⋮
Connections of unbounded operators and some related topics: von Neumann algebra case ⋮
Operator \(\theta\)-Hölder functions ⋮
Operator means for operators with positive definite real part ⋮
Operator means deformed by a fixed point method ⋮
Maps stemming from the functional calculus that transform a Kubo-Ando mean into another ⋮
Invertibility of the operators on Hilbert spaces and ideals in \(C^*\)-algebras ⋮
VARIANTS OF ANDO–HIAI TYPE INEQUALITIES FOR DEFORMED MEANS AND APPLICATIONS ⋮
Conditional negativity of Kwong matrices II ⋮
Order of operators determined by operator mean ⋮
Generalized T-Product Tensor Bernstein Bounds ⋮
T-square tensors. I: Inequalities
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