11 Jan
2021
ON ALGEBRA ISOMORPHISMS BETWEEN p-BANACH BEURLING ALGEBRAS
Authors :- PRAKASH A. DABHI & DARSHANA B. LIKHADA
Publication :- Bulletin of the Australian Mathematical Society, Volume 104, Issue 2, October 2021, pp. 308 - 319
Let (G1,ω1) and (G2,ω2) be weighted discrete groups and 0<p≤1 . We characterise biseparating bicontinuous algebra isomorphisms on the p-Banach algebra ℓp(G1,ω1) . We also characterise bipositive and isometric algebra isomorphisms between the p-Banach algebras ℓp(G1,ω1) and ℓp(G2,ω2) and isometric algebra isomorphisms between ℓp(S1,ω1) and ℓp(S2,ω2) , where (S1,ω1) and (S2,ω2) are weighted discrete semigroups.