On a class of subdiagonal algebras

2023/07/27 by David P. Blecher, Blecher, David P., Louis E. Labuschagne +1
Computer Science · Mathematics · #Advanced Operator Algebra Research #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Mathematical Physics (math-ph) #Matrix Theory and Algorithms #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.2307.14815

openalex publication_date 2023/07/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate some new classes of operator algebras which we call semi-σ-finite subdiagonal and Riesz approximable. These constitute the most general setting to date for a noncommutative Hardy space theory based on Arveson's subdiagonal algebras. We develop this theory and study the properties of these new classes.

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