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. 
@article{IVM_2012_2_a9,
     author = {A. M. Bikchentaev},
     title = {Block projection operators in normed solid spaces of measurable operators},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {86--91},
     publisher = {mathdoc},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2012_2_a9/}
}
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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/