Multiplication operators on non-commutative spaces
Operator Algebras
2019-07-25 v1 Functional Analysis
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.
Cite
@article{arxiv.1811.00269,
title = {Multiplication operators on non-commutative spaces},
author = {Pierre de Jager and Louis Labuschagne},
journal= {arXiv preprint arXiv:1811.00269},
year = {2019}
}