The best constants for operator Lipschitz functions on Schatten classes

DOI10.1016/j.jfa.2014.08.018zbMathNonearXiv1209.3948OpenAlexW2962712517MaRDI QIDQ461703

Martijn Caspers, Denis Potapov, Pheodor A. Sukochev, Stephen J. Montgomery-Smith

Publication date: 13 October 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.3948

zbMATH Keywords

commutator estimatesoperator-Lipschitz functionsSchatten-von Neumann ideals

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Commutators, derivations, elementary operators, etc. (47B47)

Related Items

Operator θ$\theta$‐Hölder functions with respect to ∥·∥p$\Vert \cdot \Vert _p$, 0<p⩽∞$0&lt; p\leqslant \infty$ ⋮ Lipschitz-type bounds for functions of operators with noncompact perturbations ⋮ Weak type operator Lipschitz and commutator estimates for commuting tuples ⋮ BMO-estimates for non-commutative vector valued Lipschitz functions ⋮ Operator Lipschitz estimates in the unitary setting ⋮ Weak \((1,1)\) estimates for multiple operator integrals and generalized absolute value functions ⋮ Operator \(\theta\)-Hölder functions

Cites Work

• Unnamed Item
• Unnamed Item
• Operator-Lipschitz functions in Schatten-von Neumann classes
• Integration on locally compact noncommutative spaces
• Some remarks on Banach spaces in which martingale difference sequences are unconditional
• The Dixmier trace and asymptotics of zeta functions
• Double operator integrals
• Non-commutative martingale transforms
• Lipschitz functions of perturbed operators
• On the best constants in noncommutative Khintchine-type inequalities
• Classical Fourier Analysis
• Lipschitz Continuity of Functions of Operators in the Schatten Classes
• The best constants in the Khintchine inequality
• Continuity of the map $S \to \left| S \right|$ for linear operators
• Operator smoothness in Schatten norms for functions of several variables: Lipschitz conditions, differentiability and unbounded derivations
• ON THE BEST CONSTANTS IN SOME NON-COMMUTATIVE MARTINGALE INEQUALITIES
• On singular integral and martingale transforms
• A weak type inequality for non-commutative martingales and applications