An abstract theorem on completeness of systems of root vectors of correct restrictions
DOI10.1007/s43036-021-00137-2OpenAlexW3134696732MaRDI QIDQ2025771
L. K. Zhumanova, Kanat S. Tulenov
Publication date: 17 May 2021
Published in: Advances in Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s43036-021-00137-2
maximal operatorself-adjoint operatorsymmetric operatorminimal operatorcorrect solvabilityregular extensionscorrect restrictions and extensions
General topics in linear spectral theory for PDEs (35P05) Sturm-Liouville theory (34B24) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) General spectral theory of ordinary differential operators (34L05) Linear symmetric and selfadjoint operators (unbounded) (47B25) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Linear boundary value problems for ordinary differential equations (34B05) Boundary eigenvalue problems for ordinary differential equations (34B09)
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Cites Work
- The extensions of a nondensely defined symmetric operator
- A description of normal extensions
- On the spectrum of well-defined restrictions and extensions for the Laplace operator
- ON SOME PROPERTIES OF THE SET OF BOUNDARY VALUE PROBLEMS
- Singular perturbations of Laplace operator and their resolvents
- Correctness of the definition of the Laplace operator with delta-like potentials
- The method of similar operators in the spectral analysis of non-self-adjoint Dirac operators with non-smooth potentials
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