Dual complementors on Banach algebras

Tomiuk, B. J.

doi:10.1090/S0002-9939-1988-0947665-8

Dual complementors on Banach algebras
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by B. J. Tomiuk PDF

Proc. Amer. Math. Soc. 103 (1988), 815-822 Request permission

Abstract:

We study semisimple annihilator Banach algebras $A$ with a right complementor $p$ such that the mapping $q$ on the closed left ideals $J$ of $A$ given by ${J^q} = {l_A}({[{r_A}(J)]^p})$ is a left complementor on $A$. A right complementor $p$ with this property is called dual, and the pair $(p,q)$ is called a dual pair of complementors on $A$.

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