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**1 - 1**of**1**### Proper CQ∗-ternary algebras

- J. NONLINEAR SCI. APPL. 7 (2014), 278–287
, 2014

"... In this paper, modifying the construction of a C∗-ternary algebra from a given C∗-algebra, we define a proper CQ∗-ternary algebra from a given proper CQ∗-algebra. We investigate homomorphisms in proper CQ∗-ternary algebras and derivations on proper CQ∗-ternary algebras associated with the Cauchy fun ..."

Abstract
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In this paper, modifying the construction of a C∗-ternary algebra from a given C∗-algebra, we define a proper CQ∗-ternary algebra from a given proper CQ∗-algebra. We investigate homomorphisms in proper CQ∗-ternary algebras and derivations on proper CQ∗-ternary algebras associated with the Cauchy functional inequality ‖f(x) + f(y) + f(z) ‖ ≤ ‖f(x+ y + z)‖. We moreover prove the Hyers-Ulam stability of homomorphisms in proper CQ∗-ternary algebras and of derivations on proper CQ∗-ternary algebras associated with the Cauchy functional equation f(x+ y + z) = f(x) + f(y) + f(z).