Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2011; 26(4): 585-589

Printed December 1, 2011

https://doi.org/10.4134/CKMS.2011.26.4.585

Copyright © The Korean Mathematical Society.

Jordan $(\varphi,\psi)$-derivations in $JB^*$-triples

Mohammad Sal Moslehian and Abbas Najati

Ferdowsi University of Mashhad, University of Mohaghegh Ardabili

Abstract

Using algebraic methods, we prove that every Jordan $(\varphi,\psi)$-derivation is a $(\varphi,\psi)$-derivation under certain conditions. In particular, we conclude that every Jordan $\theta$-derivation is a $\theta$-derivation.

Keywords: $JB^*$-triple, $(\varphi,\psi)$-derivation, Jordan $(\varphi,\psi)$-derivation, $\theta$-derivation, Jordan $\theta$-derivation

MSC numbers: Primary 47B47; Secondary 47B48, 17CXX

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