On hyponormal and dissipative correct extensions and restrictions

DOI10.1002/mma.8292zbMath1529.47015OpenAlexW4225973701MaRDI QIDQ6182345

Unnamed Author, Kanat S. Tulenov, Nurbek Kakharman

Publication date: 21 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8292

zbMATH Keywords

hyponormal operatorsymmetric operatordissipative operatorminimal operatorcorrect restriction

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Sturm-Liouville theory (34B24) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Subnormal operators, hyponormal operators, etc. (47B20) 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) Dilations, extensions, compressions of linear operators (47A20) Linear boundary value problems for ordinary differential equations (34B05) Linear accretive operators, dissipative operators, etc. (47B44) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

• A description of normal extensions
• An abstract theorem on completeness of systems of root vectors of correct restrictions
• 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
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