Bundle Convergence in a von Neumann Algebra
and in a von Neumann Subalgebra
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) no. 3, pp. 283-295
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
Let $H$ be a separable complex Hilbert space, ${\mathcal A}$ a von Neumann algebra in ${\mathcal L}(H)$, $\phi $ a faithful, normal state on ${\mathcal A}$, and ${\mathcal B}$ a commutative von Neumann subalgebra of ${\mathcal A}$. Given a sequence $(X_n: n\ge 1)$ of operators in ${\mathcal B}$, we examine the relations between bundle convergence in ${\mathcal B}$ and bundle convergence in ${\mathcal A}$.
Mots-clés :
separable complex hilbert space mathcal von neumann algebra mathcal phi faithful normal state mathcal mathcal commutative von neumann subalgebra mathcal given sequence operators mathcal examine relations between bundle convergence mathcal bundle convergence mathcal
Affiliations des auteurs :
Barthélemy Le Gac 1 ; Ferenc Móricz 2
@article{10_4064_ba52_3_8,
author = {Barth\'elemy Le Gac and Ferenc M\'oricz},
title = {Bundle {Convergence} in a von {Neumann} {Algebra
} and in a von {Neumann} {Subalgebra}},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
pages = {283--295},
publisher = {mathdoc},
volume = {52},
number = {3},
year = {2004},
doi = {10.4064/ba52-3-8},
language = {de},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ba52-3-8/}
}
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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) no. 3, pp. 283-295. doi: 10.4064/ba52-3-8
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