Higher derivatives of operator functions in ideals of von Neumann algebras

DOI10.1016/j.jmaa.2022.126705OpenAlexW4296893524MaRDI QIDQ2097537

Evangelos A. Nikitopoulos

Publication date: 14 November 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.03693

zbMATH Keywords

Fréchet derivativefunctional calculusmeasurable operatorsymmetrically normed idealmultiple operator integralnoncommutative Banach function space

Mathematics Subject Classification ID

Special classes of linear operators (47Bxx) General theory of linear operators (47Axx) Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) (46Gxx)

Related Items (1)

Noncommutative \(C^k\) functions and Fréchet derivatives of operator functions

Cites Work

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• Multiple operator integrals in perturbation theory
• Theory of Besov spaces
• Arithmetic-geometric mean and related submajorisation and norm inequalities for \(\tau\)-measurable operators. II
• Hankel operators in the perturbation theory of unitary and self-adjoint operators
• Notes on non-commutative integration
• Generalized s-numbers of \(\tau\)-measurable operators
• Differentiation of operator functions in non-commutative \(L_{p}\)-spaces
• Normed Köthe spaces: a non-commutative viewpoint
• Multiple operator integrals and higher operator derivatives
• On rings of operators
• Operator Lipschitz functions
• Noncommutative Kothe Duality
• Symmetric norms and spaces of operators
• Operator Integrals, Spectral Shift, and Spectral Flow
• Geometric properties of noncommutative symmetric spaces of measurable operators and unitary matrix ideals
• Necessary and sufficient conditions for 𝑛-times Fréchet differentiability on 𝒮^{𝓅}, 1<𝓅<∞
• HIGHER ORDER DIFFERENTIABILITY OF OPERATOR FUNCTIONS IN SCHATTEN NORMS
• Multilinear Operator Integrals
• Measure Theory
• Formes linéaires sur un anneau d'opérateurs

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