Literature cited
B. S. Nagy and C. Foias, Harmonic Analysis of Operators on Hilbert Space, North-Holland (1971).
E. C. Titchmarsh, “On the uniqueness of Green's function associated with a second-order differential equation,” Canadian J. Math.,1, 191–198 (1949).
D. B. Sears, “Note on the uniqueness of the Green's function associated with certain differential equations,” Canadian J. Math.,2, 314–325 (1950).
R. S. Ismagilov, “On the self-adjointness conditions of differential operators of large order,” Dokl. Akad. NaukSSSR,142, No. 6, 1239–1242 (1962).
Yu. B. Orochko, “On sufficient conditions for the self-adjointness of the Sturm-Liouville operator,” Mat. Zametki,15, No. 2, 271–280 (1974).
M. G. Gimadislamov, “On the self-adjointness conditions of a differential operator of large order with operator coefficients,” Mat. Zametki,5, No. 6 (1969).
A. N. Kochubei, “On self-adjointness and the characteristic spectrum of a certain class of abstract differential operators,” Ukr. Mat. Zh.,25, No. 6, 311–315 (1973).
L. I. Vainerman and M. L. Gorbachuk, “On the self-adjointness of semi-bounded abstract differential operators,” Ukr. Mat. Zh.,22, No. 6, 806–808 (1970).
M. M. Gekhtman, “On the spectrum of the Sturm-Liouville operator equation,” Funktsional'. Analiz Ego Prilozhen.,6, No. 2, 81–82 (1972).
E. A. Begovatov, Dokl. Akad. NaukSSSR,191, No. 6, 1203–1205 (1970).
V. A. Mikhailets, Dopov. Akad. Nauk URSR, Series A, No. 4, 305–307 (1974).
M. Otelbaev, “On the Titchmarsh method of bounding the resolvent,” Dokl. Akad. Nauk SSSR,211, No. 4, 787–790 (1973).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 28, No. 6, pp. 763–771, November–December, 1976.
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Otelbaev, M. Conditions foe self-adjointness of the Schrödinger operator with operator potential. Ukr Math J 28, 586–592 (1976). https://doi.org/10.1007/BF01094125
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DOI: https://doi.org/10.1007/BF01094125