Order units in a C*-algebra

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Order unit property of a positive element in a $C^{*}$-algebra is defined. It is proved that precisely projections satisfy this order theoretic property. This way, unital hereditary $C^{*}$-subalgebras of a $C^{*}$-algebra are characterized.
5 pages, no figures, no tables

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Operator Algebras

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http://salesiana.dossiersoluciones.com/handle/123456789/69481

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0312120
 http://arxiv.org/abs/math/0312120
 Proc. Indian Acad. Sci. (Math. Sci.), Vol. 113, No. 1, February 2003, pp. 65-69

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arXiv