Continuity of the eigenvalues of self-adjoint operators with respect to the strong operator topology

DOI10.1007/BF01682875zbMath0476.47008MaRDI QIDQ1160401

Joachim Weidmann

Publication date: 1980

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

zbMATH Keywords

eigenvalueself-adjoint operatorresolution of the identitystrong resolvent convergence

Mathematics Subject Classification ID

Related Items (9)

On the \(L_ p\)-spectrum of Schrödinger operators ⋮ Stability of ground state eigenvalues of non-local Schrödinger operators with respect to potentials and applications ⋮ The asymptotic behaviour of the heat equation in a twisted Dirichlet-Neumann waveguide ⋮ The improved decay rate for the heat semigroup with local magnetic field in the plane ⋮ Methoden der Zwischenprobleme zweiter Art bei Schranken für Eigenwerte rationaler Eigenwertaufgaben. (Methods of intermediate problems of the second kind for eigenvalues of rational eigenvalue problems) ⋮ The Hardy inequality and the heat equation in twisted tubes ⋮ Nodal domains and spectral minimal partitions ⋮ Ellipticity of Bartnik boundary data for stationary vacuum spacetimes ⋮ On eigenvalue asymptotics for strong δ-interactions supported by surfaces with boundaries

Cites Work

• Monotone continuity of the spectral resolution and the eigenvalues
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