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arXiv · 1811.00269

Multiplication operators on non-commutative spaces

Pierre de Jager·Louis Labuschagne
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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 $L^p$-spaces and a partial solution obtained in the more general setting of quantum Orlicz spaces.

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Pierre de Jager, Louis Labuschagne. 2018-11-01. Multiplication operators on non-commutative spaces. https://doi.org/10.1016/j.jmaa.2019.03.001

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