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- W2964178689 abstract "We prove that the bidual of a Beurling algebra on Z , considered as a Banach algebra with the first Arens product, can never be semisimple. We then show that rad(l1(⊕∞i=1Z)'') contains nilpotent elements of every index. Each of these results settles a question of Dales and Lau. Finally we show that there exists a weight ω on Z such that the bidual of l1(Z,ω) contains a radical element which is not nilpotent." @default.
- W2964178689 created "2019-07-30" @default.
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- W2964178689 date "2018-03-09" @default.
- W2964178689 modified "2023-09-24" @default.
- W2964178689 title "The radical of the bidual of a Beurling algebra" @default.
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- W2964178689 doi "https://doi.org/10.1093/qmath/hay003" @default.
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