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Livšic’s theorem for q-Sturm—Liouville operators
- Source :
- Studia Scientiarum Mathematicarum Hungarica. 53:512-524
- Publication Year :
- 2016
- Publisher :
- Akademiai Kiado Zrt., 2016.
-
Abstract
- In this paper, we study dissipative q-Sturm—Liouville operators in Weyl’s limit circle case. We describe all maximal dissipative, maximal accretive, self adjoint extensions of q-Sturm—Liouville operators. Using Livšic’s theorems, we prove a theorem on completeness of the system of eigenvectors and associated vectors of the dissipative q-Sturm—Liouville operators.
- Subjects :
- Discrete mathematics
Pure mathematics
Computer Science::Information Retrieval
General Mathematics
010102 general mathematics
MathematicsofComputing_NUMERICALANALYSIS
Sturm–Liouville theory
Spectral theorem
Mathematics::Spectral Theory
Dissipative operator
Operator theory
01 natural sciences
010101 applied mathematics
ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION
Dissipative system
0101 mathematics
Completeness (statistics)
Eigenvalues and eigenvectors
Self-adjoint operator
Mathematics
Subjects
Details
- ISSN :
- 15882896 and 00816906
- Volume :
- 53
- Database :
- OpenAIRE
- Journal :
- Studia Scientiarum Mathematicarum Hungarica
- Accession number :
- edsair.doi...........6088cc79a34e729a5800830e81379293