Eine Verallgemeinerung mehrerer Störungskriterien verschiedenen Typs im Hilbertraum. (A generalization of some perturbation criteria of different type in Hilbert space)
DOI10.1007/BF03323327zbMath0587.47043OpenAlexW2061448070MaRDI QIDQ1072087
Publication date: 1983
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf03323327
selfadjoint operatorsessentially selfadjointm-accretivitymultiplicatively perturbed operator of an accretive operator in a Hilbert spaceRellich-Kato theorem
Perturbation theory of linear operators (47A55) Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Linear accretive operators, dissipative operators, etc. (47B44)
Cites Work
- Über die Selbstadjungiertheit von Schrödinger-Operatoren
- Störungskriterien im reflexiven Banachraum
- Commutators and self-adjointness of Hamiltonian operators
- Generalisations of Rellich's theorem on perturbation of (essentially) selfadjoint operators
- A perturbation lemma
- Singular perturbations of selfadjoint operators
- Two perturbation theorems for contraction semigroups in a Hilbert space
- A perturbation theorem for linear contraction semigroups on reflexive Banach spaces
- Perturbations of Dissipative Operators with Relative Bound One
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