Banach algebras which are not Wedderburnian

Yood, Bertram

doi:10.1090/S0002-9939-1993-1150660-1

Banach algebras which are not Wedderburnian
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by Bertram Yood PDF

Proc. Amer. Math. Soc. 118 (1993), 1125-1130 Request permission

Abstract:

Let $A$ be a Banach algebra with radical $R$. In 1951 Feldman exhibited an example in which it is impossible to find a closed subalgebra $K$ of $A$ such that $A = K \oplus R$. We provide other examples. Feldman’s algebra is commutative, but these examples are, in general, not commutative.

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