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Generalized resolvents of closed dissipative operators in a Hilbert space with aF metric

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Abstract

Generalized resolvents of a closedF-dissipative operator in a Hilbert space with aF metric are defined and studied; in particular, a formula of generalized resolvents of such an operator is obtained.

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Literature cited

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Translated from Matematicheskie Zametki, Vol. 20, No. 2, pp. 261–272, August, 1976.

In conclusion the author expresses his gratitude to A. V. Shtraus for his scientific guidance.

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Utkin, V.I. Generalized resolvents of closed dissipative operators in a Hilbert space with aF metric. Mathematical Notes of the Academy of Sciences of the USSR 20, 704–710 (1976). https://doi.org/10.1007/BF01155879

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  • DOI: https://doi.org/10.1007/BF01155879

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