<oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
<dc:title>Matrix ordered operator algebras</dc:title>
<dc:creator>Kate Juschenko</dc:creator><dc:creator>Stanislav Popovych</dc:creator>
<dc:subject>46L05</dc:subject><dc:subject>46L07</dc:subject><dc:subject>47L55</dc:subject><dc:subject>47L07</dc:subject><dc:subject>47L30</dc:subject><dc:subject>$*$-algebra</dc:subject><dc:subject>faithful representation</dc:subject><dc:subject>Archimedean order</dc:subject><dc:subject>operator system</dc:subject>
<dc:description>We study the question when for a given $*$-algebra $\mathcal{A}$ a sequence of cones $C_n\subseteq M_n(\mathcal{A})_{sa}$ can be realized as cones of positive operators in a faithful $*$-representation of $\mathcal{A}$ on a Hilbert space. We present a criterion analogous to Effros-Choi abstract characterization of operator systems. A characterization of operator algebras which are completely boundedly isomorphic to $C\sp*$-algebras is also presented.</dc:description>
<dc:publisher>Indiana University Mathematics Journal</dc:publisher>
<dc:date>2009</dc:date>
<dc:type>text</dc:type>
<dc:format>pdf</dc:format>
<dc:identifier>10.1512/iumj.2009.58.3608</dc:identifier>
<dc:source>10.1512/iumj.2009.58.3608</dc:source>
<dc:language>en</dc:language>
<dc:relation>Indiana Univ. Math. J. 58 (2009) 1203 - 1218</dc:relation>
<dc:coverage>state-of-the-art mathematics</dc:coverage>
<dc:rights>http://iumj.org/access/</dc:rights>
</oai_dc:dc>