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Subjects
46-XX Functional analysis
46Lxx Selfadjoint operator algebras ( $C^{*}$ -algebras, von Neumann ( $W^{*}$ -) algebras, etc.)
46L10 General theory of von Neumann algebras

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Bibounded operators on W*-algebras.

Ulrich Groh, Burkhard Kümmerer (1982)

Mathematica Scandinavica

Bundle Convergence in a von Neumann Algebra and in a von Neumann Subalgebra

Barthélemy Le Gac, Ferenc Móricz (2004)

Bulletin of the Polish Academy of Sciences. Mathematics

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.

Currently displaying 1 – 2 of 2

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