Acta mathematica scientia,Series B ›› 2017, Vol. 37 ›› Issue (5): 1221-1229.doi: 10.1016/S0252-9602(17)30069-3

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SZEGÖ TYPE FACTORIZATION OF HAAGERUP NONCOMMUTATIVE HARDY SPACES

Turdebek N. BEKJAN   

  1. College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, China
  • Received:2016-10-25 Revised:2016-12-12 Online:2017-10-25 Published:2017-10-25
  • Supported by:

    The research is supported by NSFC (11371304).

Abstract:

Let M be a σ-finite von Neumann algebra equipped with a normal faithful state φ, and let A be a maximal subdiagonal algebra of M. We proved a Szegö type factorization theorem for the Haagerup noncommutative Hp-spaces.

Key words: subdiagonal algebras, Haagerup noncommutative Hp

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