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Subdiagonal algebras with the Beurling type invariant subspaces
| Content Provider | Semantic Scholar |
|---|---|
| Author | Ji, Guoxing |
| Copyright Year | 2019 |
| Abstract | Let $\mathfrak A$ be a maximal subdiagonal algebra in a $\sigma$-finite von Neumann algebra $\mathcal M$. If every right invariant subspace of $\mathfrak A$ in the non-commutative Hardy space $H^2$ is of Beurling type, then we say $\mathfrak A$ to be type 1. We determine generators of these algebras and consider a Riesz type factorization theorem for the non-commutative $H^1$ space. We show that the right analytic Toeplitz algebra on the non-commutative Hardy space $H^p$ associated with a type 1 subdiagonal algebra with multiplicity 1 is hereditary reflexive. |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/j.jmaa.2019.123409 |
| Alternate Webpage(s) | https://arxiv.org/pdf/1904.01746v1.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/j.jmaa.2019.123409 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
