Deficiency numbers of operators generated by infinite Jacobi matrices

DOI10.1134/S1064562416020137zbMath1344.15008arXiv1511.08950OpenAlexW2963305615MaRDI QIDQ2631202

Karahan A. Mirzoev, Irina N. Braeutigam

Publication date: 29 July 2016

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.08950

zbMATH Keywords

inequalities involving matricespower moment probleminfinite Jacobi matrixdeficiency numbers

Mathematics Subject Classification ID

Miscellaneous inequalities involving matrices (15A45) Moment problems and interpolation problems in the complex plane (30E05) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Special matrices (15B99)

Related Items

Spectral properties of block Jacobi matrices, Deficiency indices of block Jacobi matrices and Miura transformation, Deficiency indices of block Jacobi matrices: survey, Deficiency indices of the operators generated by infinite Jacobi matrices with operator entries, Deficiency indices and discreteness property of block Jacobi matrices and Dirac operators with point interactions

Cites Work

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• Three-term recurrence relations with matrix coefficients. The completely indefinite case
• Generalized Jacobi matrices and deficiency indices of ordinary differential operators with polynomial coefficients
• Self-adjointness of unbounded tridiagonal operators and spectra of their finite truncations
• Examples of block Jacobi matrices generating symmetric operators with arbitrary possible values of the deficiency numbers