## Criteria of mutual adjointness of proper extensions of linear relations | |

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1. R. Arens, Operational calculus of linear relations, Pacific J. Math., 11 (1961), 9–23. 2. E.A. Coddington, Self-adjoint subspace extensions of nondensely defined symmetric operators, Advances in Math., 14 (1974), 309–332. 3. A. Dijksma, H.V. de Snoo, Self-adjoint extensions of symmetric subspaces, Pacific J. Math., 54 (1974), ¹1, 71–100. 4. A.N. Kochubei, On the extensions of nondensely defined symmetric operator, Siber. Math. J., 18 (1977), ¹2, 314–320. (in Russian) 5. A.V. Kuzhel, S.A. Kuzhel, Regular extensions of hermitian operators. – VSP, Utrech, 1988. 6. V.A. Derkach, S. Hassi, M.M. Malamud, H.S.V. de Snoo, Generalized resolvents and admissibility, Methods of Functional Anal. and Topology, 6 (2000), ¹3, 24–55. 7. Yu.M. Arlinski, S. Hassi, Z. Sebestyen, H.S.V. de Snoo, On the clas of extremal extensions of a nonegative operators, Oper. Theory Adv. Appl., 127 (2001), 41–81. 8. V.M. Bruk, On linear relations generated by differential expression and a Nevanlinna operator function, J. of Math Physics, Analysis, Geometry, 7 (2011), ¹2, 114–140. 9. O.G. Storozh, The correlation between two pairs of linear relations and dissipative extensions of some nondensely defined symmetric operators, Carpathian Math. Publications, 1 (2009), ¹2, 207–213. (in Ukrainian) 10. V.E. Lyantse, On some relations among closed operators, Rep. Academy of Science USSR, 204 (1972), ¹3, 431–495. (in Russian) 11. A.N. Kolmogorov, C.V. Fomin, Elements of the theory of functions and functional analysis. – Nauka, Moscow, 1976. (in Russian) 12. T. Kato, Perturbation theory for linear operators. – Mir, Moscow, 1972. (in Russian) 13. V.E. Lyantse, O.G. Storozh, Methods of the theory of unbounded operators. – Naukova Dumka, Kyiv, 1983. (in Russian) |

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Volume | 40 |

Issue | 1 |

Year | 2013 |

Journal | Matematychni Studii |

Full text of paper | PDF |

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