Geodesic
Jordan Algebras of Abstract Measurable Operators for JBW-Algebras
Matematičeskie trudy, Tome 3 (2000) no. 2, pp. 29-70

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We study measurable and locally measurable operators for JBW-algebras. These concepts are described abstractly, i.e., their definitions do not involve the notion of an unbounded operator. We establish that these operators form a Jordan analog of a Baer $*$-algebra and describe the relationship between abstract measurable operators for the Jordan algebras and those for their realizations in a Boolean-valued model of set theory. 
@article{MT_2000_3_2_a1,
     author = {F. N. Arzikulov},
     title = {Jordan {Algebras} of {Abstract} {Measurable} {Operators} for {JBW-Algebras}},
     journal = {Matemati\v{c}eskie trudy},
     pages = {29--70},
     publisher = {mathdoc},
     volume = {3},
     number = {2},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2000_3_2_a1/}
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F. N. Arzikulov. Jordan Algebras of Abstract Measurable Operators for JBW-Algebras. Matematičeskie trudy, Tome 3 (2000) no. 2, pp. 29-70. http://geodesic.mathdoc.fr/item/MT_2000_3_2_a1/