Bundle Convergence in a von Neumann Algebra and in a von Neumann Subalgebra
Barthélemy Le Gac ; Ferenc Móricz
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004), p. 283-295 / Harvested from The Polish Digital Mathematics Library
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Let H be a separable complex Hilbert space, 𝓐 a von Neumann algebra in 𝓛(H), ϕ a faithful, normal state on 𝓐, and 𝓑 a commutative von Neumann subalgebra of 𝓐. Given a sequence (Xₙ: n ≥ 1) of operators in 𝓑, we examine the relations between bundle convergence in 𝓑 and bundle convergence in 𝓐.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:280245 
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     title = {Bundle Convergence in a von Neumann Algebra and in a von Neumann Subalgebra},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     volume = {52},
     year = {2004},
     pages = {283-295},
     zbl = {1106.46049},
     language = {en},
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Barthélemy Le Gac; Ferenc Móricz. Bundle Convergence in a von Neumann Algebra and in a von Neumann Subalgebra. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) pp. 283-295. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-3-8/