The unconditional pointwise convergence of orthogonal seriesin $L_2$ over a von Neumann algebra
Colloquium Mathematicum, Tome 69 (1996) no. 2, pp. 167-178.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

The paper is devoted to some problems concerning a convergence of pointwise type in the $L_2$-space over a von Neumann algebra M with a faithful normal state Φ [3]. Here $L_2 = L_2(M,Φ)$ is the completion of M under the norm $x → |x|^2 = Φ(x*x)^{1/2}$.
DOI : 10.4064/cm-69-2-167-178

Ewa Hensz 1 ; Ryszard Jajte 1 ; Adam Paszkiewicz 1

1
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Ewa Hensz; Ryszard Jajte; Adam Paszkiewicz. The unconditional pointwise convergence of orthogonal seriesin $L_2$ over a von Neumann algebra. Colloquium Mathematicum, Tome 69 (1996) no. 2, pp. 167-178. doi : 10.4064/cm-69-2-167-178. http://geodesic.mathdoc.fr/articles/10.4064/cm-69-2-167-178/

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