Schatten class estimates for the Riesz map of massless Dirac operators

DOI10.1007/s00020-018-2445-7zbMath1392.35248OpenAlexW2794780871MaRDI QIDQ1637328

Galina Levitina, Dmitriy Zanin, Dominic Vella, Pheodor A. Sukochev

Publication date: 8 June 2018

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-018-2445-7

zbMATH Keywords

Schatten classesmassless Dirac operatorRiesz map

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Stochastic integrals (60H05) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items

Cwikel estimates and negative eigenvalues of Schrödinger operators on noncommutative tori, The Witten index and the spectral shift function, Sign of a perturbed massive Dirac operator and associated Fredholm module

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Singular traces. Theory and applications
• The index formula and the spectral shift function for relatively trace class perturbations
• Riesz continuity of the Atiyah-Singer Dirac operator under perturbations of the metric
• Spectral flow is the integral of one forms on the Banach manifold of self adjoint Fredholm operators
• Weak type estimates for singular values and the number of bound states of Schrödinger operators
• Double operator integrals in a Hilbert space
• Connes integration formula for the noncommutative plane
• Quantum differentiability of essentially bounded functions on Euclidean space
• On the Witten index in terms of spectral shift functions
• Index theory for skew-adjoint Fredholm operators
• A TRACE FORMULA FOR THE DIRAC OPERATOR
• Classical Fourier Analysis
• Unbounded Fredholm modules and double operator integrals
• Spectral asymmetry and Riemannian Geometry. I
• Spectral asymmetry and Riemannian geometry. III
• Unbounded Fredholm Modules and Spectral Flow
• Self-Adjoint Fredholm Operators And Spectral Flow
• Operator Estimates for Fredholm Modules
• Unbounded Fredholm Operators and Spectral Flow
• Cwikel estimates revisited
• Trace formulas for a class of non-Fredholm operators: A review
• Spectral shift function in the large coupling constant limit
• The spectral shift function and the invariance principle