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arXiv · 1205.2188

Multipliers on Noncommutative Orlicz Spaces

Louis Labuschagne
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Abstract

We establish very general criteria for the existence of multiplication operators between noncommutative Orlicz spaces $L^{\psi_0}(\tM)$ and $L^{\psi_1}(\tM)$. We then show that these criteria contain existing results, before going on to briefly look at the extent to which the theory of multipliers on Orlicz spaces differs from that of $L^p$-spaces. In closing we describe the compactness properties of such operators.

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Louis Labuschagne. 2012-05-10. Multipliers on Noncommutative Orlicz Spaces. https://doi.org/10.2989/16073606.2014.894684

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