When do triple operator integrals take value in the trace class?
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Publication:2115477
DOI10.5802/aif.3422OpenAlexW2623425751WikidataQ114013453 ScholiaQ114013453MaRDI QIDQ2115477
Christian Le Merdy, Pheodor A. Sukochev, Clement Coine
Publication date: 17 March 2022
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.01662
Spaces of vector- and operator-valued functions (46E40) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Linear operators on function spaces (general) (47B38)
Related Items (4)
Perturbation theory and higher order \(\mathcal{S}^{p}\)-differentiability of operator functions ⋮ A characterization of absolutely dilatable Schur multipliers ⋮ Noncommutative \(C^k\) functions and Fréchet derivatives of operator functions ⋮ Higher order \(\mathcal{S}^2\)-differentiability and application to Koplienko trace formula
Cites Work
- Multiple operator integrals in perturbation theory
- Functions of noncommuting self-adjoint operators under perturbation and estimates of triple operator integrals
- Spectral shift function of higher order
- Peller's problem concerning Koplienko-Neidhardt trace formulae: the unitary case
- Singular bilinear integrals in quantum physics
- Hankel operators in the perturbation theory of unitary and self-adjoint operators
- Means of Hilbert space operators
- Double operator integrals in a Hilbert space
- Higher order \(\mathcal{S}^2\)-differentiability and application to Koplienko trace formula
- Similarity problems and completely bounded maps
- Multilinear Schur multipliers and Schatten properties of operator Taylor remainders
- Multiple operator integrals and higher operator derivatives
- Triple operator integrals in Schatten-von Neumann norms and functions of perturbed noncommuting operators
- Resolution of Peller's problem concerning Koplienko–Neidhardt trace formulae
- Multidimensional operator multipliers
- Operator Integrals, Spectral Shift, and Spectral Flow
- Measurable schur multipliers and completely bounded multipliers of the Fourier algebras
- Complete boundedness of multiple operator integrals
- HIGHER ORDER DIFFERENTIABILITY OF OPERATOR FUNCTIONS IN SCHATTEN NORMS
- Multilinear Operator Integrals
- Multiple operator integrals, Haagerup and Haagerup‐like tensor products, and operator ideals
- Grothendieck’s Theorem, past and present
- Linear Operations on Summable Functions
- \(C^*\)-algebras by example
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