De Jager, P.Labuschagne, L.E.2019-03-252019-03-252019De Jager, P. & Labuschagne, L.E. 2019. Multiplication operators on non-commutative spaces. Journal of mathematical analysis and applications, 475(1):874-894. [https://doi.org/10.1016/j.jmaa.2019.03.001]0022-247X (Online)http://hdl.handle.net/10394/32026https://www.sciencedirect.com/science/article/pii/S0022247X19302100https://doi.org/10.1016/j.jmaa.2019.03.001Boundedness 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 -spaces and a partial solution obtained in the more general setting of quantum Orlicz spacesenOrlicz spaceNon-commutativeSemi-finiteMultiplication operatorBoundedCompactArticle