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https://doi.org/10.1016/j.jmaa.2019.123409
Copy DOIPublication Date: Aug 13, 2019 | |
Citations: 10 | License type: publisher-specific-oa |
Let A be a maximal subdiagonal algebra in a σ-finite von Neumann algebra M. If every right invariant subspace of A in the noncommutative Hardy space H2 is of Beurling type, then we say A is of type 1. We determine generators of these algebras and consider a Riesz type factorization theorem for the noncommutative H1 space. We show that the right analytic Toeplitz algebra on the noncommutative Hardy space Hp associated with a type 1 subdiagonal algebra with multiplicity 1 is hereditary reflexive.
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