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This article is cited in 3 scientific papers (total in 3 papers)
Embedding of a Uniquely Divisible Abelian Semigroup In a Convex Cone
I. V. Orlov Crimea Federal University, Simferopol
Abstract:
It is proved that every uniquely divisible Abelian semigroup admits an injective subadditive embedding in a convex cone. As an application, the classical theory of generators of one-parameter operator semigroups is generalized to the case in which the parameter ranges over a uniquely divisible semigroup.
Keywords:
Abelian semigroup, unique divisibility, convex cone, infinitesimal generator of an operator semigroup.
Received: 29.07.2016 Revised: 15.03.2017
Citation:
I. V. Orlov, “Embedding of a Uniquely Divisible Abelian Semigroup In a Convex Cone”, Mat. Zametki, 102:3 (2017), 396–404; Math. Notes, 102:3 (2017), 361–368
Linking options:
https://www.mathnet.ru/eng/mzm11329https://doi.org/10.4213/mzm11329 https://www.mathnet.ru/eng/mzm/v102/i3/p396
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Abstract page: | 427 | Full-text PDF : | 44 | References: | 43 | First page: | 28 |
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