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# Bipositive Isomorphisms Between Beurling Algebras and Between their Second Dual Algebras

Published:2016-09-29
Printed: Feb 2017
• F. Ghahramani,
Department of Mathematics, 342 Machray Hall, 186 Dysart Road, University of Manitoba, Winnipeg, MB R3T 2N2, Canada
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 $L^1(G,\omega)$, $M(G,\omega)$, $LUC(G,\omega^{-1})^*$ and $L^1(G,\omega)^{**}$, the order structure combined with the algebra structure determines the weighted group.
 MSC Classifications: 43A20 - $L^1$-algebras on groups, semigroups, etc. 43A22 - Homomorphisms and multipliers of function spaces on groups, semigroups, etc.