Noncommutative H^p spaces associated with type 1 subdiagonal algebras

2021/01/11 by Ruihan Zhang, Guoxing Ji, Zhang, Ruihan +1
Mathematics · #46J15 #46K50 #46L52 #47L75 #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.2101.03764

openalex publication_date 2021/01/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let \mathfrak A be a type 1 subdiagonal algebra in a σ-finite von Neumann algebra \mathcal M with respect to a faithful normal conditional expectation Φ. We consider a Riesz type factorization theorem in noncommutative H^p spaces associated with \mathfrak A. It is shown that if 1≤ r,p,q

Citations

• A Beurling theorem for noncommutative L^p
• Von Neumann algebraic H^p theory
• Analyticity in Operator Algebras

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