The abstract Birman-Schwinger principle and spectral stability
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Publication:2680339
DOI10.1007/s11854-022-0232-5OpenAlexW3096782011MaRDI QIDQ2680339
David Krejčiřík, Marcel Hansmann
Publication date: 29 December 2022
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.15102
Spectral theory and eigenvalue problems for partial differential equations (35Pxx) General theory of linear operators (47Axx) General mathematical topics and methods in quantum theory (81Qxx)
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Spectral enclosures and stability for non‐self‐adjoint discrete Schrödinger operators on the half‐line ⋮ Spectral decomposition of some non-self-adjoint operators
Cites Work
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- A criterion for the existence of nonreal eigenvalues for a Dirac operator
- Geometric relative Hardy inequalities and the discrete spectrum of Schrödinger operators on manifolds
- On quantitative bounds on eigenvalues of a complex perturbation of a Dirac operator
- Sharp Poincaré-Hardy and Poincaré-Rellich inequalities on the hyperbolic space
- Eigenvalue bounds for Dirac and fractional Schrödinger operators with complex potentials
- The Birman-Schwinger principle on the essential spectrum
- Location of eigenvalues of non-self-adjoint discrete Dirac operators
- From Lieb-Thirring inequalities to spectral enclosures for the damped wave equation
- Nonselfadjoint operators, infinite determinants, and some applications
- Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators
- The geometry and spectra of hyperbolic manifolds
- The Rozenblum-Lieb-Cwikel inequality for Markov generators
- Spectral stability of Schrödinger operators with subordinated complex potentials
- Eigenvalues of one-dimensional non-self-adjoint Dirac operators and applications
- Absence of eigenvalues of two-dimensional magnetic Schrödinger operators
- Eigenvalue bounds for Schrödinger operators with complex potentials II
- Schrödinger operators with slowly decaying potentials
- Location of eigenvalues of three-dimensional non-self-adjoint Dirac operators
- Absence of eigenvalues of Dirac and Pauli Hamiltonians via the method of multipliers
- On Lieb-Thirring inequalities for one-dimensional non-self-adjoint Jacobi and Schrödinger operators
- Eigenvalue bounds for non-selfadjoint Dirac operators
- Estimates on complex eigenvalues for Dirac operators on the half-line
- Resonance asymptotics for Schrödinger operators on hyperbolic space
- Spectral enclosures for non-self-adjoint discrete Schrödinger operators
- \(L_p\)-spectrum and Lieb-Thirring inequalities for Schrödinger operators on the hyperbolic plane
- Eigenvalue estimates for non-selfadjoint Dirac operators on the real line
- A second eigenvalue bound for the Dirichlet Laplacian in hyperbolic space
- Wave operators and similarity for some non-selfadjoint operators
- Estimates for eigenvalues of Schrödinger operators with complex-valued potentials
- The Sobolev inequalities on real hyperbolic spaces and eigenvalue bounds for Schrödinger operators with complex potentials
- Bounds on complex eigenvalues and resonances
- An optimal improvement for the Hardy inequality on the hyperbolic space and related manifolds
- The Algebraic Multiplicity of Eigenvalues and the Evans Function Revisited
- Spectral perturbation bounds for selfadjoint operators I
- Resolvent estimates and bounds on eigenvalues for Dirac operators on the half-line
- Eigenvalue bounds for Schrödinger operators with complex potentials. III
- The generalized Birman–Schwinger principle
- Eigenvalue bounds for Schrödinger operators with complex potentials
- Sharp bounds for eigenvalues of biharmonic operators with complex potentials in low dimensions