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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

作     者:吐尔德·别克 Kordan NOSPANOV Turdebek NBEKJAN;Kordan NOSPANOV

作者机构:College of Mathematics and Systems ScienceXinjiang UniversityUrumqi 830046China Faculty of Mechanics and MathematicsL.N.Gumilyov Eurasian National UniversityAstana 010008Kazakhstan 

出 版 物:《Acta Mathematica Scientia》 (数学物理学报(B辑英文版))

年 卷 期:2020年第40卷第1期

页      面:245-260页

核心收录:

学科分类:07[理学] 070104[理学-应用数学] 0805[工学-材料科学与工程(可授工学、理学学位)] 0704[理学-天文学] 0701[理学-数学] 

基  金: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。 

主  题:subdiagonal algebra complex interpolation noncommutative Hardy space semi-finite von Neumann algebra 

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.

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