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Tensor products of Archimedean partially ordered vector spaces

Tensor products of Archimedean partially ordered vector spaces We study the tensor product of two directed Archimedean partially ordered vector spaces X and Y by means of Riesz completions. With the aid of the Fremlin tensor product of the Riesz completions of X and Y we show that the projective cone in X ⊗ Y is contained in an Archimedean cone. The smallest Archimedean cone containing the projective cone satisfies an appropriate universal mapping property. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

Tensor products of Archimedean partially ordered vector spaces

Positivity , Volume 14 (4) – Oct 1, 2010

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References (13)

Publisher
Springer Journals
Copyright
Copyright © 2010 by The Author(s)
Subject
Mathematics; Econometrics; Calculus of Variations and Optimal Control; Optimization; Potential Theory; Operator Theory; Fourier Analysis
ISSN
1385-1292
eISSN
1572-9281
DOI
10.1007/s11117-010-0085-5
Publisher site
See Article on Publisher Site

Abstract

We study the tensor product of two directed Archimedean partially ordered vector spaces X and Y by means of Riesz completions. With the aid of the Fremlin tensor product of the Riesz completions of X and Y we show that the projective cone in X ⊗ Y is contained in an Archimedean cone. The smallest Archimedean cone containing the projective cone satisfies an appropriate universal mapping property.

Journal

PositivitySpringer Journals

Published: Oct 1, 2010

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