On the stability of θ-derivations on JB*-triples |
| |
| Authors: | Choonkil Baak Mohammad Sal Moslehian |
| |
| Affiliation: | (1) Department of Mathematics, Chungnam National University, Daejeon, 305–764, SOUTH KOREA;(2) Department of Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159, Mashhad, 91775, IRAN;(3) Centre of Excellency in Analysis on Algebraic Structures (CEAAS), Ferdowsi University and Banach Mathematical Research Group (BMRG), IRAN |
| |
| Abstract: | We introduce the concept of θ-derivations on JB*-triples and prove the Hyers–Ulam-Rassias stability of θ-derivations on JB*-triples. We deal with the Hyers-Ulam-Rassias stability that was first introduced by Th. M. Rassias in the paper “On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297–300”. The first author was supported by Korea Research Foundation Grant KRF-2005-070-C00009. |
| |
| Keywords: | Hyers– Ulam– Rassias stability θ -derivation JB*-triple |
| 本文献已被 SpringerLink 等数据库收录！ |
|
