Abstract. It is shown that every bounded, unital linear mapping that preserves elements of square zero from a C* of real rank zero and without tracial states into a Banach algebra is a Jordan homomorphism.
AMS Subject Classification
(1991): 47B48, 46L05, 46L30, 16W10, 17C65
spectrally bounded operators
received 17.8.2020, revised 25.8.2020, accepted 25.8.2020. (Registered under 817/2020.)