Essential self-adjointness of operators in ordered Hilbert space

DOI10.1007/BF01646685zbMath0251.47020MaRDI QIDQ2557032

William G. Faris

Publication date: 1973

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Linear symmetric and selfadjoint operators (unbounded) (47B25) Schrödinger operator, Schrödinger equation (35J10) Linear operators on ordered spaces (47B60)

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Dirichlet forms and Markovian semigroups on standard forms of von Neumann algebras ⋮ Construction of a unique self-adjoint generator for a symmetric local semigroup ⋮ Positivity preserving operators and one criterion of essential self- adjointness ⋮ Regularization and convergence for singular perturbations ⋮ Schrödinger operators with singular magnetic vector potentials ⋮ Schrödinger semigroups ⋮ Kato's inequality and semigroup product-formulas ⋮ Schrödinger operators with \(L^p_{loc}\)-potentials ⋮ On Schrödinger semigroups and related topics ⋮ Commutators and self-adjointness of Hamiltonian operators ⋮ Removing cut-offs from singular perturbations: An abstract result

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