Maps Preserving Jordan and *-Jordan Triple Product on Operator *-Algebras
Bull. Korean Math. Soc.
Published online 2019 Mar 12
Vahid Darvish, Mojtaba Nouri, Mehran Razeghi, and Ali Taghavi
University of Mazandaran
Abstract : Let A and B be two operator -rings such that A is prime.
In this paper, we show that if the map  : A ! B is bijective and pre-
serves Jordan or -Jordan triple product then it is additive. Moreover, if
 preserves Jordan triple product, we prove the multiplicativity or anti-
multiplicativity of . Finally, we show that if A and B are two prime
operator -algebras, : A ! B is bijective and preserves -Jordan triple
product then is a C-linear or conjugate C-linear -isomorphism.
Keywords : *-Jordan triple product, *-algebra.
MSC numbers : 47B48, 46L10.
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