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- W1504835104 abstract "We characterize the commutants of some multiplication operators on a Banach space of analytic functions defined on a bounded domain in the plane. Under certain conditions on the symbol of a multiplication operator, we show that its commutant is a set of multiplication operators. This partially answers a question of Axler, Cuckovic and Rao. Next, the hyper-reflexivity of these multiplication operators are proved. The paper is concluded by proving the hyper-reflexivity of the multiplication operators with symbols varphi (z) = z^k, k=1, 2,... ." @default.
- W1504835104 created "2016-06-24" @default.
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- W1504835104 date "2013-01-01" @default.
- W1504835104 modified "2023-10-14" @default.
- W1504835104 title "Commutants and hyper-reflexivity of multiplication operators" @default.
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- W1504835104 doi "https://doi.org/10.3906/mat-1101-89" @default.
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