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On the similarity of operators of the type \(\text{sgn}\,x(-\frac{d^2}{dx^2}+c\delta)\) to a normal and a selfadjoint operator.

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Publication:1889514
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DOI10.1023/A:1025031519433zbMath1057.47050MaRDI QIDQ1889514

Illya M. Karabash, Aleksey S. Kostenko

Publication date: 2 December 2004

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


zbMATH Keywords

similarityWeyl functionspectral problemself-adjoint differential operatorquasi-Hermitian extension


Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of ordinary differential operators (47E05)


Related Items (6)

The Dirichlet problem for an equation of mixed type with two internal lines of type change ⋮ On the similarity of Sturm-Liouville operators with non-Hermitian boundary conditions to self-adjoint and normal operators ⋮ Indefinite Sturm-Liouville operators in polar form ⋮ Green's function for the Schrödinger equation with a generalized point interaction and stability of superoscillations ⋮ On the spectral theory of singular indefinite Sturm-Liouville operators ⋮ On the negative squares of indefinite Sturm--Liouville operators







This page was built for publication: On the similarity of operators of the type \(\text{sgn}\,x(-\frac{d^2}{dx^2}+c\delta)\) to a normal and a selfadjoint operator.

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