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arxiv: math/0201188 · v1 · submitted 2002-01-21 · 🧮 math.OA · math.FA

Normal contractive projections preserve type

classification 🧮 math.OA math.FA
keywords typecontractivenormaldominatedgivenmurray-vonneumannpreserve
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Given a JBW*-triple Z and a normal contractive projection P on Z, we show that the (Murray-von Neumann) type of each summand of P(Z) is dominated by the type of Z.

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