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Completeness and the basis property of the eigen- and associated vectors of operators of the class K (H)

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Literature cited

  1. T. Ya. Azizov, “Invariant subspaces of commuting families of operators in a space with an indefinite metric,” Ukr. Mat. Zh.,28, No. 3, 293–299 (1976).

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  2. T. Ya. Azizov, “Dissipative operators in a Hilbert space with an indefinite metric,” Izv. Akad. Nauk SSSR, Ser. Mat.,37, No. 3, 639–662 (1973).

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  3. T. Ya. Azizov and I. S. Iokhvldov, “A condition for the completeness and basis property of a system of root vectors of a completely continuous J-self-adjoint operator in the Pontryagin space ∏χ,” Mat. Issled.,6, No. 1, 158–161 (1971).

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  4. T. Ya. Azizov, “A condition for the nondegeneracy of the closed linear hull of the root vectors of Jdissipative completely continuous operators in the Pontryagin space νχ,” in: Collected Works of Research Students, Faculty of Mathematics, Vol. 1, Voronezh State Univ. (1971), pp. 1–5.

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 30, No. 1, pp. 86–88, January–February, 1978.

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Azizov, T.Y., Usvyatsova, E.B. Completeness and the basis property of the eigen- and associated vectors of operators of the class K (H). Ukr Math J 30, 63–64 (1978). https://doi.org/10.1007/BF01130632

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  • DOI: https://doi.org/10.1007/BF01130632

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