The unconditional pointwise convergence of orthogonal seriesin $L_2$ over a von Neumann algebra
Volume 69 / 1996
Colloquium Mathematicum 69 (1996), 167-178
DOI: 10.4064/cm-69-2-167-178
Abstract
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 $x → |x|^2 = Φ(x*x)^{1/2}$.
