On Riesz type factorization for noncommutative Hardy spaces

Bekjan T.N.
January 2025 Birkhauser

Advances in Operator Theory
2025 #10 Issue 1

We extended the Riesz type weak factorization to symmetric quasi Hardy spaces associated with semifinite subdiagonal algebras and the Haagerup noncommutative H^p-spaces under certain conditions. We also proved weak version of the Szego type factorization for symmetric quasi Hardy spaces associated with semifinite subdiagonal algebras and the Haagerup noncommutative H^p-spaces associated with subdiagonal algebras, which have the universal factorization property.

46L52 , 47L05 , Haagerup noncommutative H^p-space , Riesz type factorization , Subdiagonal algebras , Szego type factorization

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Astana IT University, Astana, 010000, Kazakhstan

Astana IT University

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