2009-05-01
Distinguishing properties of Arens irregularity
Publication
Publication
Proceedings of the American Mathematical Society , Volume 137 - Issue 5 p. 1753- 1761
In this paper, we present a number of examples of commutative Banach algebras with various Arens irregularity properties. These examples illustrate in particular that strong Arens irregularity and extreme non-Arens regularity, the two natural concepts of "maximal" Arens irregularity for general Banach algebras as introduced by Dales-Lau and Granirer, respectively, are indeed distinct. Thereby, an open question raised by several authors is answered. We also link these two properties to another natural Arens irregularity property.
Additional Metadata | |
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Arens products, Banach algebras, Fourier algebras, Topological centres, Weakly almost periodic functionals | |
dx.doi.org/10.1090/S0002-9939-08-09678-0 | |
Proceedings of the American Mathematical Society | |
Organisation | School of Mathematics and Statistics |
Hu, Z. (Zhiguo), & Neufang, M. (2009). Distinguishing properties of Arens irregularity. Proceedings of the American Mathematical Society, 137(5), 1753–1761. doi:10.1090/S0002-9939-08-09678-0
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