Geodesic
Block projection operators in normed solid spaces of measurable operators
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2012), pp. 86-91

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We prove a Hermitian analog of the well-known operator triangle inequality for von Neumann algebras. In the semifinite case we show that a block projection operator is a linear positive contraction on a wide class of solid spaces of Segal measurable operators. We describe some applications of the obtained results.
Keywords: von Neumann algebra, triangle inequality, normal semifinite trace, solid space of measurable operators, block projection operator. 
A. M. Bikchentaev. Block projection operators in normed solid spaces of measurable operators. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2012), pp. 86-91. http://geodesic.mathdoc.fr/item/IVM_2012_2_a9/
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