Boundary values of resolvents of selfadjoint operators in Krein spaces

DOI10.1016/j.jfa.2013.08.030zbMath1310.47055arXiv1211.0791OpenAlexW1993022788MaRDI QIDQ2440958

Christian Gérard, Dietrich Häfner, Vladimir Georgescu

Publication date: 21 March 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.0791

zbMATH Keywords

resolvent estimatesfunctional calculusKlein-Gordon equationsKrein spacescommutator expansions

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Linear operators on spaces with an indefinite metric (47B50)

Related Items (10)

Boundary Values of Resolvents of Self-adjoint Operators in Krein Spaces and Applications to the Klein–Gordon Equation ⋮ Spectral properties for the Klein-Gordon Hamiltonian in charged black hole backgrounds ⋮ Decay of the local energy for the charged Klein-Gordon equation in the exterior de Sitter-Reissner-Nordström spacetime ⋮ Spectral decomposition of some non-self-adjoint operators ⋮ Scattering theory for the charged Klein-Gordon equation in the exterior De Sitter-Reissner-Nordström spacetime ⋮ Direct and inverse scattering at fixed energy for massless charged Dirac fields by Kerr-Newman-de Sitter black holes ⋮ Asymptotic completeness for superradiant Klein-Gordon equations and applications to the de Sitter-Kerr metric ⋮ The Hartle–Hawking–Israel state on spacetimes with stationary bifurcate Killing horizons ⋮ Resolvent and propagation estimates for Klein-Gordon equations with non-positive energy ⋮ Fully coupled Pauli-Fierz systems at zero and positive temperature

Cites Work

• Commutators, \(C_{0}\)-semigroups and resolvent estimates
• Opérateurs conjugués et propriétés de propagation
• Spectral theory of the Klein-Gordon equation in Pontryagin spaces
• A proof of the abstract limiting absorption principle by energy estimates
• Spectral analysis of N-body Schrödinger operators
• Absence of singular continuous spectrum for certain self-adjoint operators
• Resolvent and propagation estimates for Klein-Gordon equations with non-positive energy
• A new look at Mourre's commutator theory
• On Commutators and Jacobi Matrices
• Spectral Theory of the Klein–Gordon Equation in Krein Spaces
• The Functional Calculus
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
• \(C_0\)-groups, commutator methods and spectral theory of \(N\)-body Hamiltonians
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