Geodesic
On the Notion of Support of Orthogonal Vector Field
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 150 (2008) no. 1, pp. 71-75 Cet article a éte moissonné depuis la source Math-Net.Ru

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The notion of support of the orthogonal vector field is presented and discussed on von Neumann algebra. It is shown that every ultraweakly-weakly continuous orthogonal vector field has support.
Keywords: von Neumann algebra, orthogonal vector field, support. 
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G. D. Lugovaya. On the Notion of Support of Orthogonal Vector Field. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 150 (2008) no. 1, pp. 71-75. http://geodesic.mathdoc.fr/item/UZKU_2008_150_1_a6/

[1] Lugovaya G. D., “O ponyatii nositelya ortogonalnogo vektornogo polya”, Matematika. Obrazovanie. Ekonomika. Ekologiya, Tez. dokl. IX mezhd. konf., Cheboksary, 2001, 49

[2] Lugovaya G. D., Sherstnev A. N., “Order properties of orthogonal vector fields and a representation theorem”, Russian J. Math. Phys., 8:2 (2001), 172–179 | MR | Zbl

[3] Lugovaya G. D., Sherstnev A. N., Funktsionalnyi analiz. Spetsialnye kursy, URSS, M., 2007, 256 pp.