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- W2072322016 abstract "Wermer has conjectured the following converse: If a commutative Banach algebra has no nontrivial derivations then it is semi-simple. A weaker statement is: If a commutative Banach algebra is all radical [i.e. xn -O for all x] then it has a nontrivial derivation. In this note we show that even this weaker statement is false. We choose a fixed sequence Xn, n= 1, 2, * * * , of non-0 complex numbers, and consider the following algebraic system S. The elements are those formal power series" @default.
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- W2072322016 date "1959-04-01" @default.
- W2072322016 modified "2023-09-26" @default.
- W2072322016 title "A radical algebra without derivations" @default.
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- W2072322016 doi "https://doi.org/10.1090/s0002-9939-1959-0107823-3" @default.
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