| This paper consists of three parts.In the first part, we discuss the properties and convergence of the Fourier coefcientsof the operators in the group von Neumann algebra Lp(VN(G), τ)(p≥1).In second part, define the finite subdiagonal algebra in Arveson’s sense and characterizethe specific form of the Hardy space on this algebra.In the last part, we consider outer operators. Similar to the classical case, we obtainRiesz type factorization on the noncommutative Hardy space. |
