Mathematics – Operator Algebras
Scientific paper
2012-01-23
Science China Mathematics, 54, No. 2 (2011) 1-10
Mathematics
Operator Algebras
Scientific paper
We give an overview of the question: which positive elements in an operator algebra can be written as a linear combination of projections with positive coefficients. A special case of independent interest is the question of which positive elements can be written as a sum of finitely many projections. We focus on von Neumann algebras, on purely infinite simple C*-algebras, and on their associated multiplier algebras.
Kaftal Victor
Ng Ping Wong
Zhang Sheng
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