Multiplication operators on non-commutative spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:475

Article

de Jager, P.¹  Labuschagne, L. E.¹ 

[1] NWU, Unit BMI, DST NRF CoE Math & Stat Sci, Sch Comp Stat & Math Sci, Internal Box 209,PVT BAG X6001, ZA-2520 Potchefstroom, South Africa

关键词: Orlicz space;    Non-commutative;    Semi-finite;    Multiplication operator;    Bounded;    Compact;   

DOI  :  10.1016/j.jmaa.2019.03.001

来源: Elsevier

【 摘 要 】

Boundedness and compactness properties of multiplication operators on quantum (non-commutative) function spaces are investigated. For endomorphic multiplication operators these properties can be characterized in the setting of quantum symmetric spaces. For non-endomorphic multiplication operators these properties can be completely characterized in the setting of quantum L-p-spaces and a partial solution obtained in the more general setting of quantum Orlicz spaces. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free