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Multiplication operators on non-commutative spaces

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Elsevier

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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

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De 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]

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