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HOMOMORPHISMS IN PROPER LIE CQ<sup>*</sup>-ALGEBRAS
Lee, Jung Rye,Shin, Dong Yun The Kangwon-Kyungki Mathematical Society 2011 한국수학논문집 Vol.19 No.1
Using the Hyers-Ulam-Rassias stability method of functional equations, we investigate homomorphisms in proper $CQ^*$-algebras and proper Lie $CQ^*$-algebras, and derivations on proper $CQ^*$-algebras and proper Lie $CQ^*$-algebras associated with the following functional equation $$\frac{1}{k}f(kx+ky+kz)=f(x)+f(y)+f(z)$$ for a fixed positive integer $k$.
Stability of an additive functional inequality in proper CQ^*-algebras
이정례,박춘길,신동윤 대한수학회 2011 대한수학회보 Vol.48 No.4
In this paper, we prove the Hyers-Ulam-Rassias stability of the following additive functional inequality: (0.1) ∥f(2x)+f(2y)+f(z)∥ ≤ ∥2f(x+y+z)∥. We investigate homomorphisms in proper CQ^*-algebras and derivations on proper CQ^*-algebras associated with the additive functional inequality (0.1).
STABILITY OF AN ADDITIVE FUNCTIONAL INEQUALITY IN PROPER CQ<sup>*</sup>-ALGEBRAS
Lee, Jung-Rye,Park, Choon-Kil,Shin, Dong-Yun Korean Mathematical Society 2011 대한수학회보 Vol.48 No.4
In this paper, we prove the Hyers-Ulam-Rassias stability of the following additive functional inequality: ${\parallel}f(2x)+f(2y)+2f(z){\parallel}\;{\leq}\;{\parallel}2f(x+y+z){\parallel}$ We investigate homomorphisms in proper $CQ^*$-algebras and derivations on proper $CQ^*$-algebras associated with the additive functional inequality (0.1).