Operator-Lipschitz functions in Schatten-von Neumann classes
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Publication:416850
DOI10.1007/s11511-012-0072-8zbMath1242.47013arXiv0904.4095OpenAlexW1965502126MaRDI QIDQ416850
Denis Potapov, Pheodor A. Sukochev
Publication date: 10 May 2012
Published in: Acta Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0904.4095
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)
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Cites Work
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- Unitarily invariant norms under which the map \(A\to| A|\) is Lipschitz continuous
- Lipschitz continuity of the absolute value and Riesz projections in symmetric operator spaces
- Double operator integrals
- Lipschitz functions of perturbed operators
- Unbounded Fredholm modules and double operator integrals
- Lipschitz Continuity of Functions of Operators in the Schatten Classes
- Continuity of the map $S \to \left| S \right|$ for linear operators
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