Generalized sum of operators

DOI10.1007/BF02674196zbMath0967.47016MaRDI QIDQ1582828

T. V. Karataeva, Volodymyr Koshmanenko

Publication date: 13 May 2001

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

self-adjoint extensionsingular operator\(A\)-scale of Hilbert spacessemibounded below selfadjoint operatorsymmetric restriction

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Dilations, extensions, compressions of linear operators (47A20)

Related Items (6)

Approximations for strongly singular evolution equations ⋮ On form-sum approximations of singularly perturbed positive self-adjoint operators ⋮ The rigged Hilbert spaces approach in singular perturbation theory ⋮ Eigenvalue asymptotics for Sturm--Liouville operators with singular potentials ⋮ On negative eigenvalues of generalized Laplace operators. ⋮ Schrödinger operators with singular potentials from the space of multiplicators

Cites Work

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• Automorphic systems of scalar fields
• On the definition of singular bilinear forms and singular linear operators
• Singular rank one perturbations of self-adjoint operators and Krein theory of self-adjoint extensions
• Spectral synthesis in Sobolev spaces and uniqueness of solutions of the Dirichlet problem
• Rank one perturbations at infinite coupling
• Rank one perturbations with infinitesimal coupling
• Singular perturbations with an infinite constant coupling
• Perturbations of self-adjoint operators by singular bilinear forms

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