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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…