ACTA issues

Characterizing Jordan homomorphisms

Martin Mathieu

Acta Sci. Math. (Szeged) 86:3-4(2020), 697-701

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.

DOI: 10.14232/actasm-020-067-7

AMS Subject Classification (1991): 47B48, 46L05, 46L30, 16W10, 17C65

Keyword(s): C*-algebras, commutators, nilpotents, tracial states, Jordan homomorphisms, spectrally bounded operators

received 17.8.2020, revised 25.8.2020, accepted 25.8.2020. (Registered under 817/2020.)