Submajorisation inequalities for convex and concave functions of sums of measurable operators

DOI10.1007/s11117-008-2206-yzbMath1170.46055OpenAlexW2046831590MaRDI QIDQ1007104

Peter G. Dodds, Pheodor A. Sukochev

Publication date: 27 March 2009

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-008-2206-y

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Noncommutative function spaces (46L52)

Related Items (11)

A property of conditional expectation ⋮ Submajorization inequalities for matrices of τ-measurable operators ⋮ Lipschitz estimates in quasi-Banach Schatten ideals ⋮ Choi-Davis-Jensen inequalities in semifinite von Neumann algebras ⋮ Operator θ$\theta$‐Hölder functions with respect to ∥·∥p$\Vert \cdot \Vert _p$, 0<p⩽∞$0&lt; p\leqslant \infty$ ⋮ On submajorization inequalities for matrices of measurable operators ⋮ Blum-Hanson type ergodic theorems in noncommutative symmetric spaces ⋮ Notes on two recent results of Audenaert ⋮ Operator \(\theta\)-Hölder functions ⋮ Some norm inequalities involving convex functions of operators ⋮ Submajorization inequalities of \(\tau\)-measurable operators for concave and convex functions

Cites Work

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• Inequalities between \(\|f(A + B)\|\) and \(\|f(A) + f(B)\|\)
• A matrix subadditivity inequality for \(f(A + B)\) and \(f(A) + f(B)\)
• Non-commutative Banach function spaces
• Weak majorization inequalities and convex functions
• Generalized s-numbers of \(\tau\)-measurable operators
• Norm inequalities related to operator monotone functions
• Noncommutative Kothe Duality
• Subadditivity of eigenvalue sums

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