We proved a complex interpolation theorem of noncommutative Hardy spaces associated with semi-finite von Neumann algebras and extend the Riesz type factorization to the semi-finite case.
Let M be a σ-finite von Neumann algebra equipped with a normal faithful state φ, and let A be a maximal subdiagonal algebra of M. We proved a Szeg type factorization theorem for the Haagerup noncommutative H;-spaces.
基金partially supported by NSFC(11771372)K.N.Ospanov was partially supported by project AP05131557 of the Science Committee of Ministry of Education and Science of the Republic of Kazakhstan。
文摘We proved a complex interpolation theorem of noncommutative Hardy spaces associated with semi-finite von Neumann algebras and extend the Riesz type factorization to the semi-finite case.
文摘Let M be a σ-finite von Neumann algebra equipped with a normal faithful state φ, and let A be a maximal subdiagonal algebra of M. We proved a Szeg type factorization theorem for the Haagerup noncommutative H;-spaces.