Double operator integrals

DOI10.1006/jfan.2001.3898zbMath1079.47502OpenAlexW1974692853MaRDI QIDQ1614782

H. Witvliet, Pheodor A. Sukochev, Ben de Pagter

Publication date: 8 September 2002

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

Full work available at URL: https://doi.org/10.1006/jfan.2001.3898

zbMATH Keywords

integration theory noncommutative $L_p$-spaces finitely additive spectral measures generalisations of Schur multipliers norm estimates in noncommutative symmetric spaces

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Vector-valued measures and integration (46G10) Noncommutative function spaces (46L52) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items

$L_p$-bounds for the Krein spectral shift function: $0<p<\infty$, Differentiation of operator functions in non-commutative $L_{p}$-spaces, Perturbation theory and higher order $\mathcal{S}^{p}$-differentiability of operator functions, Spectral shift function of higher order, Approximation of the spectral action functional in the case of $\tau$-compact resolvents, Endpoint weak Schatten class estimates and trace formula for commutators of Riesz transforms with multipliers on Heisenberg groups, Boundedness of the Hilbert transform in Lorentz spaces and applications to operator ideals, Cauchy-Schwarz inequalities for inner product type transformers in ${Q}^*$ norm ideals of compact operators, Operator θ$\theta$‐Hölder functions with respect to ∥·∥p$\Vert \cdot \Vert _p$, 0<p⩽∞$0< p\leqslant \infty$, Operator-Lipschitz functions in Schatten-von Neumann classes, Singular bilinear integrals in quantum physics, Trace theorem for quasi-Fuchsian groups, Weak type operator Lipschitz and commutator estimates for commuting tuples, Noncommutative Burkholder/Rosenthal inequalities with maximal diagonals, Fréchet differentiability of the norm of $L_p$-spaces associated with arbitrary von Neumann algebras, The best constants for operator Lipschitz functions on Schatten classes, Fréchet differentiability of the norm of $L_p$-spaces associated with arbitrary von Neumann algebras, On the Arazy conjecture concerning Schur multipliers on Schatten ideals, Cesaro mean convergence of martingale differences in rearrangement invariant spaces, The boundedness of the Hilbert transformation from one rearrangement invariant Banach space into another and applications, The index formula and the spectral shift function for relatively trace class perturbations, Quantum differentiability on noncommutative Euclidean spaces, Quantum differentiability on quantum tori, BMO-estimates for non-commutative vector valued Lipschitz functions, The Banach--Saks $p$-property, Sets of uniformly absolutely continuous norm in symmetric spaces of measurable operators, Inequalities for generalized derivations of operator monotone functions in norm ideals of compact operators, Spectral flow is the integral of one forms on the Banach manifold of self adjoint Fredholm operators, Operator Lipschitz functions on Banach spaces, Johnson–Schechtman and Khintchine inequalities in noncommutative probability theory, Resolution of Peller's problem concerning Koplienko–Neidhardt trace formulae, Complete logarithmic Sobolev inequalities via Ricci curvature bounded below, The optimal range of the Calderòn operator and its applications, Operator $\theta$-Hölder functions, A Dixmier trace formula for the density of states, Arithmetic-geometric mean and related submajorisation and norm inequalities for $\tau$-measurable operators. II, Stability of logarithmic Sobolev inequalities under a noncommutative change of measure, (Non-)Dunford-Pettis operators on noncommutative symmetric spaces, Optimal estimates for martingale transforms

Cites Work