Distinguishing properties of Arens irregularity-Reference-Cited by-同舟云学术

Distinguishing properties of Arens irregularity

Published:2008-11-17 Issue:5 Volume:137 Page:1753-1761
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Hu Zhiguo,Neufang Matthias

Abstract

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2009-137-05/S0002-9939-08-09678-0/S0002-9939-08-09678-0.pdf

Reference29 articles.

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5. The second duals of Beurling algebras;Dales, H. G.;Mem. Amer. Math. Soc.,2005

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