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arXiv · 2307.14815

On a class of subdiagonal algebras

David P. Blecher·Louis E. Labuschagne
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Abstract

We investigate some new classes of operator algebras which we call semi-$\sigma$-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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David P. Blecher, Louis E. Labuschagne. 2023-07-27. On a class of subdiagonal algebras. https://arxiv.org/abs/2307.14815

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