COMPLEX INTERPOLATION OF NONCOMMUTATIVE HARDY SPACES ASSOCIATED WITH SEMIFINITE VON NEUMANN ALGEBRAS

doi:10.1007/s10473-020-0117-9

数学物理学报(英文版) ›› 2020, Vol. 40 ›› Issue (1): 245-260.doi: 10.1007/s10473-020-0117-9

COMPLEX INTERPOLATION OF NONCOMMUTATIVE HARDY SPACES ASSOCIATED WITH SEMIFINITE VON NEUMANN ALGEBRAS

吐尔德·别克, Kordan N. OSPANOV

1. College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, China;
2. Faculty of Mechanics and Mathematics, L. N. Gumilyov Eurasian National University, Astana 010008, Kazakhstan

收稿日期:2018-09-20 修回日期:2019-04-10 出版日期:2020-02-25 发布日期:2020-04-14
通讯作者: Turdebek N. BEKJAN E-mail:bekjant@yahoo.com
基金资助:
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.

COMPLEX INTERPOLATION OF NONCOMMUTATIVE HARDY SPACES ASSOCIATED WITH SEMIFINITE VON NEUMANN ALGEBRAS

Turdebek N. BEKJAN, Kordan N. OSPANOV

1. College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, China;
2. Faculty of Mechanics and Mathematics, L. N. Gumilyov Eurasian National University, Astana 010008, Kazakhstan

Received:2018-09-20 Revised:2019-04-10 Online:2020-02-25 Published:2020-04-14
Contact: Turdebek N. BEKJAN E-mail:bekjant@yahoo.com
Supported by:
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.

摘要/Abstract

摘要： 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.

关键词: subdiagonal algebra, complex interpolation, noncommutative Hardy space, semi-finite von Neumann algebra

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.

Key words: subdiagonal algebra, complex interpolation, noncommutative Hardy space, semi-finite von Neumann algebra

中图分类号:

46L52

吐尔德·别克, Kordan N. OSPANOV. COMPLEX INTERPOLATION OF NONCOMMUTATIVE HARDY SPACES ASSOCIATED WITH SEMIFINITE VON NEUMANN ALGEBRAS[J]. 数学物理学报(英文版), 2020, 40(1): 245-260.

Turdebek N. BEKJAN, Kordan N. OSPANOV. COMPLEX INTERPOLATION OF NONCOMMUTATIVE HARDY SPACES ASSOCIATED WITH SEMIFINITE VON NEUMANN ALGEBRAS[J]. Acta mathematica scientia,Series B, 2020, 40(1): 245-260.

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COMPLEX INTERPOLATION OF NONCOMMUTATIVE HARDY SPACES ASSOCIATED WITH SEMIFINITE VON NEUMANN ALGEBRAS

COMPLEX INTERPOLATION OF NONCOMMUTATIVE HARDY SPACES ASSOCIATED WITH SEMIFINITE VON NEUMANN ALGEBRAS

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