On a class of subdiagonal algebras
Operator Algebras
2023-07-28 v1 Mathematical Physics
Functional Analysis
math.MP
Abstract
We investigate some new classes of operator algebras which we call semi--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.
Keywords
Cite
@article{arxiv.2307.14815,
title = {On a class of subdiagonal algebras},
author = {David P. Blecher and Louis E. Labuschagne},
journal= {arXiv preprint arXiv:2307.14815},
year = {2023}
}
Comments
21 pages