Generalisations of Rellich's theorem on perturbation of (essentially) selfadjoint operators
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Publication:2549847
DOI10.1007/BF01113402zbMath0228.47010OpenAlexW2033896795MaRDI QIDQ2549847
Publication date: 1971
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/171498
Perturbation theory of linear operators (47A55) Linear symmetric and selfadjoint operators (unbounded) (47B25)
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Boundary perturbation of \(m\)-dissipative operators ⋮ Wüst's theorem and positively perturbed Schrödinger operators ⋮ Ein neues Surjektivitätskriterium im Hilbertraum ⋮ A perturbation theorem for linear contraction semigroups on reflexive Banach spaces ⋮ Homotopy-like perturbation: General results and applications ⋮ Elliptic differential operators on Lipschitz domains and abstract boundary value problems ⋮ Spectral theory of Dirac operators with potentials diverging at infinity ⋮ Essential self-adjointness of symmetric first-order differential systems and confinement of Dirac particles on bounded domains in \({\mathbb{R}}^d\) ⋮ Tosio Kato's work on non-relativistic quantum mechanics. I ⋮ Perturbations of Dissipative Operators with Relative Bound One ⋮ Some essentially self-adjoint Dirac type operators. I: Formulation and an extension of the Rellich-Kato theorem ⋮ Störungskriterien im reflexiven Banachraum ⋮ Stability of deficiency indices ⋮ Essential selfadjointness of a Schrödinger operator with strongly singular potential ⋮ On the stability of self-adjointness of Schrödinger operators under positive perturbations ⋮ Essential self-adjointness of Schrödinger operators with positive potentials ⋮ Holomorphic operator families and stability of selfadjointness ⋮ Tosio Kato’s work on non-relativistic quantum mechanics, Part 2 ⋮ Positive perturbations of self-adjoint Schrödinger operators ⋮ Eine Verallgemeinerung mehrerer Störungskriterien verschiedenen Typs im Hilbertraum. (A generalization of some perturbation criteria of different type in Hilbert space)
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