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- Title
Maps preserving Jordan triple product on the self-adjoint elements of -algebras.
- Authors
Taghavi, Ali
- Abstract
Let and be two unital -algebras with unit . It is shown that the mapping which preserves arithmetic mean and Jordan triple product is a difference of two Jordan homomorphisms provided that . The structure of is more refined when or . Furthermore, if is a -algebra of real rank zero and is additive and preserves absolute value of product, then such that (respectively, ) is a complex linear (respectively, antilinear) ∗-homomorphism.
- Subjects
ARITHMETIC mean; CENTER (Mathematics); JORDAN American Holdings Inc.; ALTERNATIVE algebras; PROBABILITY theory
- Publication
Asian-European Journal of Mathematics, 2017, Vol 10, Issue 2, p-1
- ISSN
1793-5571
- Publication type
Article
- DOI
10.1142/S179355711750022X