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math.FA2023
Isometries between groups of invertible elements in Fourier-Stieltjes algebras
Osamu Hatori, Shiho Oi
We prove that if open subgroups of the groups of invertible elements in two Fourier-Stieltjes algebras are isometric as metric spaces, then the underlying locally compact groups ar…
math.FA2023
Linear preservers on idempotents of Fourier algebras
Ying-Fen Lin, Shiho Oi
In this article, we give a representation of bounded complex linear operators which preserve idempotent elements on the Fourier algebra of a locally compact group. When such an ope…