Bipositive Isomorphisms Between Beurling Algebras and Between their Second Dual Algebras
Canadian journal of mathematics, Tome 69 (2017) no. 1, pp. 3-20
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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.
Mots-clés :
43A20, 43A22, locally compact group, Beurling algebra, Arens product, topological group isomorphism, bipositive algebra isomorphism
Ghahramani, F.; Zadeh, S. Bipositive Isomorphisms Between Beurling Algebras and Between their Second Dual Algebras. Canadian journal of mathematics, Tome 69 (2017) no. 1, pp. 3-20. doi: 10.4153/CJM-2016-028-5
@article{10_4153_CJM_2016_028_5,
author = {Ghahramani, F. and Zadeh, S.},
title = {Bipositive {Isomorphisms} {Between} {Beurling} {Algebras} and {Between} their {Second} {Dual} {Algebras}},
journal = {Canadian journal of mathematics},
pages = {3--20},
year = {2017},
volume = {69},
number = {1},
doi = {10.4153/CJM-2016-028-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2016-028-5/}
}
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