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

Barthélemy Le Gac; Ferenc Móricz

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 (2004)

Volume: 52, Issue: 3, page 283-295
ISSN: 0239-7269

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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.

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Barthélemy Le Gac, and Ferenc Móricz. "Bundle Convergence in a von Neumann Algebra and in a von Neumann Subalgebra." Bulletin of the Polish Academy of Sciences. Mathematics 52.3 (2004): 283-295. <http://eudml.org/doc/280245>.

@article{BarthélemyLeGac2004,
abstract = {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.},
author = {Barthélemy Le Gac, Ferenc Móricz},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {von Neumann algebra and subalgebra; faithful and normal state; bundle convergence; almost uniform convergence; conditional expectation in a von Neumann algebra},
language = {eng},
number = {3},
pages = {283-295},
title = {Bundle Convergence in a von Neumann Algebra and in a von Neumann Subalgebra},
url = {http://eudml.org/doc/280245},
volume = {52},
year = {2004},
}

TY - JOUR
AU - Barthélemy Le Gac
AU - Ferenc Móricz
TI - Bundle Convergence in a von Neumann Algebra and in a von Neumann Subalgebra
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2004
VL - 52
IS - 3
SP - 283
EP - 295
AB - 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.
LA - eng
KW - von Neumann algebra and subalgebra; faithful and normal state; bundle convergence; almost uniform convergence; conditional expectation in a von Neumann algebra
UR - http://eudml.org/doc/280245
ER -

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