Isomorphisms and Derivations in Proper JCQ*-Triples

Choonkil Park () and Madjid Eshaghi-Gordji ()
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Choonkil Park: Hanyang University
Madjid Eshaghi-Gordji: Semnan University

Chapter Chapter 19 in Functional Equations in Mathematical Analysis, 2011, pp 229-245 from Springer

Abstract: Abstract We investigate homomorphisms in proper JCQ ∗-triples and derivations on proper JCQ ∗-triples associated with the 3-variable Jensen functional equation $$\begin{array}{rcl} 2f\left (\frac{x + y + z} {2} \right ) = f(x) + f(y) + f(z)\;,& & \\ \end{array}$$ which was introduced and investigated by Park, Cho and Han. We moreover prove the Hyers–Ulam–Rassias stability of homomorphisms in proper JCQ ∗-triples and of derivations on proper JCQ ∗-triples. This is applied to investigate isomorphisms between proper JCQ ∗-triples.

Keywords: 3-variable Jensen functional equation; Hyers–Ulam–Rassias stability; Proper; Proper JCQ ∗-triple derivation (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/978-1-4614-0055-4_19

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