Multiplication operators on non-commutative spaces

被引：4
作者：
de Jager, P. [1 ]
Labuschagne, L. E. [1 ]
机构：
[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
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 475卷 / 01期
基金：
新加坡国家研究基金会;
关键词：
Orlicz space; Non-commutative; Semi-finite; Multiplication operator; Bounded; Compact;
D O I：
10.1016/j.jmaa.2019.03.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
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页码：874 / 894
页数：21
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