On the spectrum of Bargmann-Toeplitz operators with symbols of a variable sign

DOI10.1007/s11854-011-0019-6zbMath1253.47018arXiv0912.4486OpenAlexW2064010975MaRDI QIDQ415772

Alexander Pushnitski, Grigori Rozenblum

Publication date: 9 May 2012

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.4486

zbMATH Keywords

geometry of supportBargmann-Toeplitz operatorsLandau Hamiltoniansymbols of variable sign

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (6)

Eigenvalue asymptotics for a Schrödinger operator with non-constant magnetic field along one direction ⋮ Threshold singularities of the spectral shift function for a half-plane magnetic Hamiltonian ⋮ The Landau Hamiltonian with δ-potentials supported on curves ⋮ Spectrum of the Iwatsuka Hamiltonian at thresholds ⋮ Discrete spectrum of quantum Hall effect Hamiltonians. I: Monotone edge potentials ⋮ On lower eigenvalue bounds for Toeplitz operators with radial symbols in Bergman spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite rank Bergman-Toeplitz and Bargmann-Toeplitz operators in many dimensions
• Operator theoretic methods for the eigenvalue counting function in spectral gaps
• Asymptotic distribution of eigenvalues for Schrödinger operators with homogeneous magnetic fields
• Spectral asymptotics of Pauli operators and orthogonal polynomials in complex domains
• Border-line eigenvalue asymptotics for the Schrödinger operator with electromagnetic potential
• The index of a pair of projections
• The \(\Xi\) operator and its relation to Krein's spectral shift function
• Trace ideal criteria for Toeplitz operators
• Asymptotic distribution of eigenvalues for Pauli operators with nonconstant magnetic fields
• NOTE ON DEGREE OF APPROXIMATION TO ANALYTIC FUNCTIONS BY RATIONAL FUNCTIONS WITH PREASSIGNED POLES
• On the Spectral Properties of the Perturbed Landau Hamiltonian
• QUASI-CLASSICAL VERSUS NON-CLASSICAL SPECTRAL ASYMPTOTICS FOR MAGNETIC SCHRÖDINGER OPERATORS WITH DECREASING ELECTRIC POTENTIALS
• Spectral shift function in strong magnetic fields
• Eigenvalue asymptotics for the södinger operator
• Eigenvalue Asymptotics for Weakly Perturbed Dirac and Schrödinger Operators with Constant Magnetic Fields of Full Rank
• Finite rank Toeplitz operators on the Bergman space

This page was built for publication: On the spectrum of Bargmann-Toeplitz operators with symbols of a variable sign