Characterizations of noncommutative H^∞

2004/11/26 by David P. Blecher, Blecher, David P., Louis E. Labuschagne +1
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #math.FA #math.OA

paper · pdf · doi:10.48550/arxiv.math/0411591

18 pages: Minor technical improvements to Szego's theorem

openalex publication_date 2004/11/26 · arxiv created 2004/12/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We transfer a large part of the circle of theorems characterizing the generalization of classical H^∞ known as `weak* Dirichlet algebras', to Arveson's noncommutative setting of subalgebras of finite von Neumann algebras.

Citations

• On the maximality of subdiagonal algebras
• Analyticity in Operator Algebras
• Subalgebras of C*-algebras
• Logmodularity and isometries of operator algebras

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