Archimedeanization of ordered vector spaces

Preprint English OPEN
Emelyanov, Eduard Yu. (2014)
  • Subject: Mathematics - Functional Analysis | 46A40
    arxiv: Mathematics::Representation Theory | Statistics::Other Statistics

In the case of an ordered vector space with an order unit, the Archimedeanization method has been developed recently by V.I Paulsen and M. Tomforde. We present a general version of the Archimedeanization which covers arbitrary ordered vector spaces.
  • References (4)

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    Paulsen, V.I., Tomforde, M., Vector spaces with an order unit, Indiana Univ. Math. J., Vol. 58. no. 3, 1319-1359, (2009).

    Veksler, A.I., Archimedean principle in homomorphic images of l-groups and of vector lattices, Izv. Vysˇs. Uˇcebn. Zaved. Matematika, Vol. 54. no.

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