Multiplication operators on non-commutative spaces
Abstract
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 -spaces and a partial solution obtained in the more general setting of quantum Orlicz spaces
URI
http://hdl.handle.net/10394/32026https://www.sciencedirect.com/science/article/pii/S0022247X19302100
https://doi.org/10.1016/j.jmaa.2019.03.001