Equivalent Definitions of Infinite Positive Elements in Simple C*-algebras
Canadian mathematical bulletin, Tome 53 (2010) no. 2, pp. 256-262

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DOI

We prove the equivalence of three definitions given by different comparison relations for infiniteness of positive elements in simple ${{C}^{*}}$ -algebras.
DOI : 10.4153/CMB-2010-042-x
Mots-clés : 46L99, Infinite positive element, Comparison relation
Fang, Xiaochun; Wang, Lin. Equivalent Definitions of Infinite Positive Elements in Simple C*-algebras. Canadian mathematical bulletin, Tome 53 (2010) no. 2, pp. 256-262. doi: 10.4153/CMB-2010-042-x
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     author = {Fang, Xiaochun and Wang, Lin},
     title = {Equivalent {Definitions} of {Infinite} {Positive} {Elements} in {Simple} {C*-algebras}},
     journal = {Canadian mathematical bulletin},
     pages = {256--262},
     year = {2010},
     volume = {53},
     number = {2},
     doi = {10.4153/CMB-2010-042-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-042-x/}
}
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