3 papers
math.OA2024
Multiplicatively spectrum-preserving maps on -algebras
Michiya Mori, Shiho Oi
We study surjective maps between the sets of all self-adjoint elements of unital -algebras which satisfy the multiplicatively spectrum-preserving property. We show that such m…
math.OA2024
Non-linear characterization of Jordan -isomorphisms via maps on positive cones of -algebras
Osamu Hatori, Shiho Oi
We study maps between positive definite or positive semidefinite cones of unital -algebras. We describe surjective maps that preserve (1) the norm of the quotient or multiplic…
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…