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Asymptotic resolvent and theorems on generation of semigroups of operators in locally convex spaces

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Abstract

The concept of the asymptotic resolvent of an operator is introduced and used to establish theorems on the generation of semigroups of distributions and operator semigroups of class (ℒ ploc , ℬ) in a locally convex space.

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Literature cited

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Translated from Matematicheskie Zametki, Vol. 22, No. 3, pp. 433–442, September, 1977.

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Vuvunikyan, Y.M. Asymptotic resolvent and theorems on generation of semigroups of operators in locally convex spaces. Mathematical Notes of the Academy of Sciences of the USSR 22, 732–737 (1977). https://doi.org/10.1007/BF02412504

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  • DOI: https://doi.org/10.1007/BF02412504

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