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ARENS PRODUCTS, ARENS REGULARITY AND RELATED PROBLEMS
Published online by Cambridge University Press: 04 December 2019
Abstract
We study the second dual algebra of a Banach algebra and related problems. We resolve some questions raised by Ülger, which are related to Arens products. We then discuss a question of Gulick on the radical of the second dual algebra of the group algebra of a discrete abelian group and give an application of Arens regularity to Fourier and Fourier–Stieltjes transforms.
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- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 102 , Issue 1 , August 2020 , pp. 138 - 150
- Copyright
- © 2019 Australian Mathematical Publishing Association Inc.