Perturbation of non-selfadjoint operators. I

DOI10.1007/BF00251608zbMath0193.42302OpenAlexW2059055886MaRDI QIDQ2538575

Charles I. Goldstein

Publication date: 1970

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00251608

zbMATH Keywords

functional analysis

Related Items (11)

Asymptotic completeness in dissipative scattering theory ⋮ The ℒ-matrix associated with nonselfadjoint differential operators ⋮ Non-unitary scattering and capture. I: Hilbert space theory ⋮ Scattering theory for elliptic differential operators in unbounded domains. I ⋮ Spectral decomposition of some non-self-adjoint operators ⋮ Equipped absolutely continuous subspaces and stationary construction of wave operators in the non-selfadjoint scattering theory ⋮ Eigenfunction expansions for the Schrödinger operator ⋮ Coercive inequalities for pseudodifferential operators of constant rank ⋮ Perturbation of non-selfadjoint operators. II ⋮ A spectral theory for the reduced wave equation with a complex refractive index ⋮ Scattering theory for elliptic differential operators in unbounded domains. II

Cites Work

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• Eigenfunction expansions associated with the Schrödinger operator with a complex potential and the scattering inverse problem
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• Eigenfunction expansions and similarity for certain nonselfadjoint operators
• Eigenfunction Expansions Associated with the Laplacian for Certain Domains with Infinite Boundaries. III : To the memory of my father, Emil Goldstein
• On the perturbation of continuous spectra

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