ON ALGEBRA ISOMORPHISMS BETWEEN p-BANACH BEURLING ALGEBRAS
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Abstract Let $(G_1,\omega _1)$ and $(G_2,\omega _2)$ be weighted discrete groups and $0\lt p\leq 1$ . 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.
2011 ◽
Vol 63
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pp. 123-135
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2018 ◽
Vol 11
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pp. 1850021
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1967 ◽
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pp. 41-49
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2018 ◽
Vol 17
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pp. 1850169
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1959 ◽
Vol 11
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pp. 297-310
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2001 ◽
Vol 6
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pp. 138-146
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1988 ◽
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pp. 143-145
1985 ◽
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pp. 664-681
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