A Beurling-Blecher-Labuschagne theorem for Haagerup noncommutative L^p spaces

2019/06/03 by Turdebek N. Bekjan, Bekjan, Turdebek N., Madi Raikhan +1
Mathematics · #46L52 #47L05 #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Algebra over a field #FOS: Mathematics #Holomorphic and Operator Theory #Mathematics #Noncommutative geometry #Operator Algebras (math.OA) #Pure mathematics #math.OA #msc:46L52 #msc:47L05

paper · pdf · doi:10.48550/arxiv.1906.00841

published in arXiv (Cornell University) (Cornell University) · 16 pages

openalex publication_date 2019/06/03 · arxiv created 2021/07/11 · arxiv updated 2021/07/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let M be a σ-finite von Neumann algebra, equipped with a normal faithful state φ, and let A be maximal subdiagonal subalgebra of M and 1≤ p

Citations

• Riesz and Szegö type factorizations for noncommutative Hardy spaces
• A Beurling theorem for noncommutative L^p
• On the maximality of subdiagonal algebras
• On two problems concerning linear transformations in hilbert space
• Analyticity in Operator Algebras
• A Beurling-Chen-Hadwin-Shen Theorem for Noncommutative Hardy Spaces Associated with Semifinite von Neumann Algebras with Unitarily Invariant Norms

Related

• On Haagerup noncommutative quasi H^p(\A) spaces
• A Beurling-Blecher-Labuschagne Theorem for noncommutative Hardy spaces associated with semifinite von Neumann algebras
• A non-commutative Beurling's theorem with respect to unitarily invariant norms
• A Beurling theorem for noncommutative L^p
• Haagerup noncommutative Orlicz spaces