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Complex Interpolation of Noncommutative Hardy Spaces Associated with Semifinite von Neumann Algebras

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Abstract

We proved a complex interpolation theorem of noncommutative Hardy spaces associated with semi-finite von Neumann algebras and extend the Riesz type factorization to the semi-finite case.

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Authors and Affiliations

  1. College of Mathematics and Systems Science, Xinjiang University, Urumqi, 830046, China

    Turdebek N. Bekjan  (吐尔德.别克)

  2. Faculty of Mechanics and Mathematics, L. N. Gumilyov Eurasian National University, Astana, 010008, Kazakhstan

    Kordan N. Ospanov

Authors
  1. Turdebek N. Bekjan  (吐尔德.别克)
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  2. Kordan N. Ospanov
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Corresponding author

Correspondence to Turdebek N. Bekjan  (吐尔德.别克).

Additional information

T.N. Bekjan was partially supported by NSFC (11771372), K.N. Ospanov was partially supported by project AP05131557 of the Science Committee of Ministry of Education and Science of the Republic of Kazakhstan.

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Bekjan, T.N., Ospanov, K.N. Complex Interpolation of Noncommutative Hardy Spaces Associated with Semifinite von Neumann Algebras. Acta Math Sci 40, 245–260 (2020). https://doi.org/10.1007/s10473-020-0117-9

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  • DOI: https://doi.org/10.1007/s10473-020-0117-9

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