Weak type estimates for the absolute value mapping

DOI10.7900/jot.2013dec20.2021zbMath1389.47063arXiv1309.3378OpenAlexW2121954080MaRDI QIDQ5264691

Martijn Caspers, Dmitriy Zanin, Denis Potapov, Pheodor A. Sukochev

Publication date: 27 July 2015

Published in: Journal of Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.3378

zbMATH Keywords

Schatten classesoperator idealsLipschitz estimatescommutator estimatesweak type inequalitiesabsolute value mapping

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Operator ideals (47L20)

Related Items (11)

Fractional powers on noncommutative \(L_{p}\) for \(p < 1\) ⋮ Lipschitz estimates in quasi-Banach Schatten ideals ⋮ Endpoint weak Schatten class estimates and trace formula for commutators of Riesz transforms with multipliers on Heisenberg groups ⋮ Operator θ$\theta$‐Hölder functions with respect to ∥·∥p$\Vert \cdot \Vert _p$, 0<p⩽∞$0&lt; p\leqslant \infty$ ⋮ Trace theorem for quasi-Fuchsian groups ⋮ Weak type operator Lipschitz and commutator estimates for commuting tuples ⋮ Peller's problem concerning Koplienko-Neidhardt trace formulae: the unitary case ⋮ Weak \((1,1)\) estimates for multiple operator integrals and generalized absolute value functions ⋮ The optimal range of the Calderòn operator and its applications ⋮ Operator \(\theta\)-Hölder functions ⋮ Asymptotics of singular values for quantum derivatives

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