Comprehensive survey on an order preserving operator inequality

DOI10.15352/bjma/1358864546zbMath1276.47020OpenAlexW2033538769MaRDI QIDQ1943492

Publication date: 20 March 2013

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bjma/1358864546

zbMATH Keywords

operator monotone function Furuta inequality Löwner-Heinz inequality order preserving operator inequality

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Linear operator inequalities (47A63) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Subnormal operators, hyponormal operators, etc. (47B20)

Related Items (2)

A characterization of convex functions and its application to operator monotone functions ⋮ On some Hölder-type inequalities with applications

Cites Work

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Furuta inequality and its related topics
An elementary proof of an order preserving inequality
Powers of class $wA(s,t)$ operators associated with generalized Aluthge transformation.
Positive semidefinite solutions of the operator equation
A complement to monotonicity of generalized Furuta-type operator functions
Log majorization via an order preserving operator inequality
The operator equation $\sum _{i=0}^n A^{n-i}XB^i=Y$
On the definiteness of the solutions of certain matrix equations
Some results on matrix monotone functions
Furuta's inequality and its application to Ando's theorem
On log-hyponormal operators
Log majorization and complementary Golden-Thompson type inequalities
Majorizations and inequalities in matrix theory
Further extensions of Aluthge transformation on $p$-hyponormal operators
Convergence of logarithmic trace inequalities via generalized Lie--Trotter formulae
Löwner inequality of indefinite type
Extension of the Furuta inequality and Ando-Hiai log-majorization
Some generalized theorems on $p$-hyponormal operators
Another consequence of Tanahashi's argument on best possibility of the grand Furuta inequality
A satellite of the grand Furuta inequality and its application
$w$-hyponormal operators
A short proof of the best possibility for the grand Furuta inequality
A new majorization between functions, polynomials, and operator inequalities
On p-hyponormal operators for $0<p<1$
Operator functions on chaotic order involving order preserving operator inequalities
A remark on extension of order preserving operator inequality
Classified construction of generalized Furuta type operator functions, II
Operator inequalities for J-contractions
Furuta inequality of indefinite type
Complete form of Furuta inequality
An Application of Furuta Inequality to Linear Operator Equations
Further developments of Furuta inequality of indefinite type
Mean theoretic approach to a further extension of grand Furuta inequality
Further extension of Furuta inequality
Further extension of an order preserving operator inequality
Operator function associated with an order preserving operator inequality
Hermitian Matrix Inequalities and a Conjecture
Inequalities for Unitarily Invariant Norms
Some applications of Tanahashi's result on the best possibility of Furuta inequality
Some exponential operator inequalities
Simplified proof of Tanahashi's result on the best possibility of generalized Furuta inequality
A note on $p$-hyponormal operators
Characterization of chaotic order and its application to Furuta inequality
Operator functions implying generalized Furuta inequality
Operator functions associated with the grand Furuta inequality
The best possibility of the grand Furuta inequality
Several properties on class A including p-hyponormal and log-hyponormal operators
Mean theoretic approach to the grand Furuta inequality
Generalized Aluthge transformation on 𝑝-hyponormal operators
Best possibility of the Furuta inequality
Monotonicity of generalized Furuta type functions
On Yuan-Gao's ‟complete form" of Furuta inequality
On powers of class A(k) operators including p-hyponormal and log-hyponormal operators
The Furuta inequality in Banach $*$-algebras
$A \geq B \geq 0$ Assures $(B^r A^p B^r)^{1/q} \geq B^{(p+2r)/q$ for $r \geq 0$, $p \geq 0$, $q \geq 1$ with $(1 + 2r)q \geq p + 2r$
On some operator inequalities

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