Geodesic
Commutation of Projections and Trace Characterization on von~Neumann Algebras.~II
Matematičeskie zametki, Tome 89 (2011) no. 4, pp. 483-494.

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We obtain new necessary and sufficient commutation conditions for projections in terms of operator inequalities. These inequalities are applied for trace characterization on von Neumann algebras for the class of all positive normal functionals.
Keywords: projection, von Neumann algebra, Hilbert space, trace, commutation of operators, normal functional, linear bounded operator, operator inequality. 
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A. M. Bikchentaev. Commutation of Projections and Trace Characterization on von~Neumann Algebras.~II. Matematičeskie zametki, Tome 89 (2011) no. 4, pp. 483-494. http://geodesic.mathdoc.fr/item/MZM_2011_89_4_a0/

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