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math.OA2020★ 1 cited
Elementary operators on Hilbert modules over prime -algebras
Ljiljana Arambašić, Ilja Gogić
Let be a right Hilbert module over a -algebra equipped with the canonical operator space structure. We define an elementary operator on as a map for w…
math.OA2020★ 2 cited
The centre-quotient property and weak centrality for -algebras
Robert J. Archbold, Ilja Gogić
We give a number of equivalent conditions (including weak centrality) for a general -algebra to have the centre-quotient property. We show that every -algebra has a l…