Multiplication operators on non-commutative spaces
De Jager, P.
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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