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http://dx.doi.org/10.4134/BKMS.2011.48.4.853

STABILITY OF AN ADDITIVE FUNCTIONAL INEQUALITY IN PROPER CQ*-ALGEBRAS  

Lee, Jung-Rye (Department of Mathematics Daejin University)
Park, Choon-Kil (Department of Mathematics Research Institute for Natural Sciences Hanyang University)
Shin, Dong-Yun (Department of Mathematics University of Seoul)
Publication Information
Bulletin of the Korean Mathematical Society / v.48, no.4, 2011 , pp. 853-871 More about this Journal
Abstract
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).
Keywords
additive functional inequality; Hyers-Ulam-Rassias stability; proper $CQ^*$-algebras; proper $CQ^*$-algebra homomorphism; derivation;
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