Geodesic
Mappings which Preserve Idempotents, Local Automorphisms, and Local Derivations
Canadian journal of mathematics, Tome 45 (1993) no. 3, pp. 483-496

Voir la notice de l'article provenant de la source Cambridge University Press

It is proved that linear mappings of matrix algebras which preserve idempotents are Jordan homomorphisms. Applying this theorem we get some results concerning local derivations and local automorphisms. As an another application, the complete description of all weakly continuous linear surjective mappings on standard operator algebras which preserve projections is obtained. We also study local ring derivations on commutative semisimple Banach algebras.
DOI : 10.4153/CJM-1993-025-4
Mots-clés : 15A04, 46J99, 47B47, 47D30 
Brešar, Matej; Šemrl, Peter. Mappings which Preserve Idempotents, Local Automorphisms, and Local Derivations. Canadian journal of mathematics, Tome 45 (1993) no. 3, pp. 483-496. doi: 10.4153/CJM-1993-025-4
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