Characterizing Jordan homomorphisms

It is shown that every bounded, unital linear mapping that preserves elements of square zero from a C*-algebra of real rank zero and without tracial states into a Banach algebra is a Jordan homomorphism.

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Bibliographic Details
Main Author: Mathieu Martin
Format: Article
Published: 2020
Series:Acta scientiarum mathematicarum 86 No. 3-4
Kulcsszavak:Matematika
doi:10.14232/actasm-020-067-7

Online Access:http://acta.bibl.u-szeged.hu/73912
Description
Summary:It is shown that every bounded, unital linear mapping that preserves elements of square zero from a C*-algebra of real rank zero and without tracial states into a Banach algebra is a Jordan homomorphism.
Physical Description:697-701
ISSN:2064-8316