## Dual complementors on Banach algebras

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- by B. J. Tomiuk
- Proc. Amer. Math. Soc.
**103**(1988), 815-822 - DOI: https://doi.org/10.1090/S0002-9939-1988-0947665-8
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## 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 $A$.## References

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## Bibliographic Information

- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**103**(1988), 815-822 - MSC: Primary 46H20; Secondary 46K05
- DOI: https://doi.org/10.1090/S0002-9939-1988-0947665-8
- MathSciNet review: 947665