Operator monotone functions which are defined implicitly and operator inequalities
From MaRDI portal
Publication:1584566
DOI10.1006/jfan.2000.3617zbMath1018.47014OpenAlexW2067728521MaRDI QIDQ1584566
Publication date: 7 September 2003
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jfan.2000.3617
Related Items (12)
A new majorization between functions, polynomials, and operator inequalities ⋮ Inequality between unitary orbits ⋮ A class of matrix monotone functions ⋮ Geometric convexity of an operator mean ⋮ A coincidence point theorem and its applications to fractional differential equations ⋮ On the binary relation \(\leqslant_u\) on self-adjoint Hilbert space operators ⋮ Operator inequalities: from a general theorem to concrete inequalities ⋮ A new majorization between functions, polynomials, and operator inequalities. II ⋮ Inverse functions of polynomials and orthogonal polynomials as operator monotone functions ⋮ Mixed matrix (operator) inequalities ⋮ A New Majorization Induced by Matrix Order ⋮ On a family of operator means involving the power difference means
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An elementary proof of an order preserving inequality
- Jensen's inequality for operators and Loewner's theorem
- Means of positive linear operators
- Commutativity of selfadjoint operators
- Beiträge zur Störungstheorie der Spektralzerlegung
- Hermitian Matrix Inequalities and a Conjecture
- Furuta's Inequality and a Generalization of Ando's Theorem
- Further extension of the Heinz-Kato-Furuta inequality
- Some exponential operator inequalities
- Best possibility of the Furuta inequality
- $A \geq B \geq 0$ 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
This page was built for publication: Operator monotone functions which are defined implicitly and operator inequalities