Every norm is a restriction of an order-unit norm

We point out the equivalence of the fact that every norm on a vector space is a restriction of an order-unit norm to that of Paulsen s construction concerning generalization of operator systems.

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[1] Aliprantis CD, Tourky R. Cones and Duality. Providence, RI: American Mathematical Society Graduate Studies in Mathematics, Vol. 84, 2007.
[2] Fakhar M, Koushesh MR, Raoofi M. Embedding normed linear spaces into C(X). arXiv:1502.06008.
[3] Kadison RV. A representation theory for commutative topological algebra. Mem Amer Math Soc 1971; 21: 39 pp.
[4] Paulsen V. Completely Bounded Maps and Operator Algebras. Cambridge, UK: Cambridge University Press, 2003.

ISSN: 1300-0098
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: TÜBİTAK

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