Email this article Embedding of a uniquely divisible Abelian semigroup in a convex cone
- Authors: Orlov I.V.1
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Affiliations:
- “Mathematical Notes,” Steklov Mathematical Institute
- Issue: Vol 102, No 3-4 (2017)
- Pages: 361-368
- Section: Article
- URL: https://journal-vniispk.ru/0001-4346/article/view/150107
- DOI: https://doi.org/10.1134/S0001434617090061
- ID: 150107
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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.
About the authors
I. V. Orlov
“Mathematical Notes,” Steklov Mathematical Institute
Author for correspondence.
Email: igor_v_orlov@mail.ru
Russian Federation, Moscow
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