Singular bilinear integrals in quantum physics

DOI10.3390/MATH3030563zbMath1330.81093OpenAlexW1532045997MaRDI QIDQ901426

Brian R. F. Jefferies

Publication date: 12 January 2016

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math3030563

zbMATH Keywords

tensor productsspectral measureoperator equationsdouble operator integralsbilinear integration

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) (2)-body potential quantum scattering theory (81U05) Vector-valued measures and integration (46G10)

Related Items (1)

When do triple operator integrals take value in the trace class?

Cites Work

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• Krein's trace theorem revisited
• Operator-Lipschitz functions in Schatten-von Neumann classes
• The operator equation \(AX-XB=C\) with unbounded operators \(A\) and \(B\) and related abstract Cauchy problems
• Perturbation of spectral subspaces and solution of linear operator equations
• Hankel operators in the perturbation theory of unitary and self-adjoint operators
• Remarks on the spectral shift function
• Bilinear integration in tensor products
• Double operator integrals in a Hilbert space
• Double operator integrals
• An application of bilinear integration to quantum scattering
• Operator multipliers
• Mathematical theory of Feynman path integrals. An introduction
• The Krein spectral shift function in semifinite von Neumann algebras
• On the extension of bimeasures
• Some Recent Applications of Bilinear Integration
• A general bilinear vector integral
• Operator Interpretation of Resonances Arising in Spectral Problems for 2 × 2 Operator Matrices
• How and Why to Solve the Operator Equation AX −XB = Y
• Graph Subspaces and the Spectral Shift Function
• Measurable schur multipliers and completely bounded multipliers of the Fourier algebras
• A generalized Pettis measurability criterion and integration of vector functions
• Operator Stieltjes integrals with respect to a spectral measure and solutions of some operator equations
• Grothendieck’s Theorem, past and present
• On integration in Banach spaces, I
• On integration in Banach spaces, II
• On representation of linear operators on $C_0(T,{\bf X})$
• Kreǐn's trace formula and the spectral shift function

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