Let A be a unital real standard Jordan operator algebra acting on a Hilbert space H of dimension at least 2. We show that every bijection \\phi on A satisfying phi(a^2 o b) = \\phi(a)^2 o \\phi(b) is of the form \\phi = e ...

A unital JB-algebra A is defined to be of rank zero if the set of invertible elements is dense in A. A non-unital JB-algebra A is said to be of rank zero if its unitization A ⊕R1 is so. We show that a unital JB-algebra A ...

Let B be a unital real standard Jordan operator alge-

bra acting on a Hilbert space H of dimension at least 2. We show

that every bijection ϕ on A satisfying ϕ(A^2 o B) = ϕ(A)^2 o ϕ(B)

is of the form ...