Bipositive Isomorphisms Between Beurling Algebras and Between their Second Dual Algebras

Ghahramani, F. ; Zadeh, S.

Canadian journal of mathematics, Tome 69 (2017) no. 1, pp. 3-20

Résumé

Let $G$ be a locally compact group and let $\omega$ be a continuous weight on $G$ . We show that for each of the Banach algebras ${{L}^{1}}\left( G,\,\omega\right),\,M\left( G,\,\omega\right),\,LUC{{\left( G,\,{{\omega }^{-1}} \right)}^{*}}$ , and ${{L}^{1}}{{\left( G,\,\omega\right)}^{**}}$ , the order structure combined with the algebra structure determines the weighted group.

Détail

DOI : 10.4153/CJM-2016-028-5

Mots-clés : 43A20, 43A22, locally compact group, Beurling algebra, Arens product, topological group isomorphism, bipositive algebra isomorphism

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