Refine search
Actions for selected content:
1 results
ON ALGEBRA ISOMORPHISMS BETWEEN p-BANACH BEURLING ALGEBRAS
- Part of
-
- Journal:
- Bulletin of the Australian Mathematical Society / Volume 104 / Issue 2 / October 2021
- Published online by Cambridge University Press:
- 11 January 2021, pp. 308-319
- Print publication:
- October 2021
-
- Article
- Export citation
-
Let
$(G_1,\omega _1)$ and 
$(G_2,\omega _2)$ be weighted discrete groups and 
$0<p\leq 1$. We characterise biseparating bicontinuous algebra isomorphisms on the p-Banach algebra 
$\ell ^p(G_1,\omega _1)$. We also characterise bipositive and isometric algebra isomorphisms between the p-Banach algebras 
$\ell ^p(G_1,\omega _1)$ and 
$\ell ^p(G_2,\omega _2)$ and isometric algebra isomorphisms between 
$\ell ^p(S_1,\omega _1)$ and 
$\ell ^p(S_2,\omega _2)$, where 
$(S_1,\omega _1)$ and 
$(S_2,\omega _2)$ are weighted discrete semigroups.
