Double Operator Integrals and Submajorization

DOI10.1051/mmnp/20105414zbMath1214.46042OpenAlexW2105847120MaRDI QIDQ3576326

Denis Potapov, Pheodor A. Sukochev

Publication date: 30 July 2010

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/197628

zbMATH Keywords

noncommutative \(L_p\)-spacesunitarily invariant norm inequalitiesdouble operator integration

Mathematics Subject Classification ID

Noncommutative measure and integration (46L51) Noncommutative function spaces (46L52) Operator ideals (47L20)

Related Items (11)

Fractional powers on noncommutative \(L_{p}\) for \(p < 1\) ⋮ Topological invariance of the homological index ⋮ Quantum differentiability of essentially bounded functions on Euclidean space ⋮ On the Witten index in terms of spectral shift functions ⋮ Operator θ$\theta$‐Hölder functions with respect to ∥·∥p$\Vert \cdot \Vert _p$, 0<p⩽∞$0&lt; p\leqslant \infty$ ⋮ Fisher information and logarithmic Sobolev inequality for matrix-valued functions ⋮ The index formula and the spectral shift function for relatively trace class perturbations ⋮ Operator Lipschitz functions on Banach spaces ⋮ Operator \(\theta\)-Hölder functions ⋮ 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

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