Abstract
Let \(\mathcal{A}\) be a maximal subdiagonal algebra of a finite von Neumann algebra ℳ. For \(0< p<\infty\), we define the noncommutative Hardy-Lorentz spaces and establish the Riesz and Szegö factorizations on these spaces. We also present some results of Jordan morphism on these spaces.
Highlights
The concept of maximal subdiagonal algebras A, which appeared earlier in Arveson’s paper [ ], unifies analytic function spaces and nonselfadjoint operator algebras
Subdiagonal algebras are the noncommutative analogue of weak* Dirichlet algebras
The noncommutative Hp spaces have been developed by Blecher, Bekjan, Labuschagne, Xu and their coauthors in a series of papers
Summary
The concept of maximal subdiagonal algebras A, which appeared earlier in Arveson’s paper [ ], unifies analytic function spaces and nonselfadjoint operator algebras. Let M have no minimal projection, the associate space a noncommutative Banach function space. Let M be a finite von Neumann algebra, we define noncommutative weighted Hardy spaces by Hp,ω(A) = [A]p,ω and H p,ω(A) = [A ]p,ω.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
