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- W2596816839 abstract "The purpose of this paper is to prove that the noncommutative version of the Singer-Wermer Conjecture is affirmative under certain conditions. Let A be a noncommutative Banach algebra. Suppose there exists a continuous linear Jordan derivation <TEX>$D:A{rightarrow}A$</TEX> such that <TEX>$D(x)^3[D(x),x</TEX><TEX>]</TEX><TEX>{in}rad(A)$</TEX> for all <TEX>$x{in}A$</TEX>. In this case, we show that <TEX>$D(A){subseteq}rad(A)$</TEX>." @default.
- W2596816839 created "2017-03-23" @default.
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- W2596816839 date "2013-07-31" @default.
- W2596816839 modified "2023-09-24" @default.
- W2596816839 title "JORDAN DERIVATIONS ON PRIME RINGS AND THEIR APPLICATIONS IN BANACH ALGEBRAS, I" @default.
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- W2596816839 doi "https://doi.org/10.4134/ckms.2013.28.3.535" @default.
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