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

Title & Authors
STABILITY OF AN ADDITIVE FUNCTIONAL INEQUALITY IN PROPER CQ*-ALGEBRAS
Lee, Jung-Rye; Park, Choon-Kil; Shin, Dong-Yun;

Abstract
In this paper, we prove the Hyers-Ulam-Rassias stability of the following additive functional inequality: $\small{{\parallel}f(2x)+f(2y)+2f(z){\parallel}\;{\leq}\;{\parallel}2f(x+y+z){\parallel}}$ We investigate homomorphisms in proper $\small{CQ^*}$-algebras and derivations on proper $\small{CQ^*}$-algebras associated with the additive functional inequality (0.1).
Keywords
additive functional inequality;Hyers-Ulam-Rassias stability;proper $\small{CQ^*}$-algebras;proper $\small{CQ^*}$-algebra homomorphism;derivation;
Language
English
Cited by
1.
ON THE STABILITY OF A GENERAL ADDITIVE FUNCTIONAL INEQUALITY IN BANACH SPACES,;

충청수학회지, 2013. vol.26. 4, pp.907-913
2.
ON THE HYERS-ULAM STABILITY OF AN ADDITIVE FUNCTIONAL INEQUALITY,;;;

충청수학회지, 2013. vol.26. 4, pp.671-681
3.
STABILITY OF AN ADDITIVE FUNCTIONAL INEQUALITY IN BANACH SPACES,;

충청수학회지, 2016. vol.29. 1, pp.103-108
1.
STABILITY OF AN ADDITIVE FUNCTIONAL INEQUALITY IN BANACH SPACES, Journal of the Chungcheong Mathematical Society, 2016, 29, 1, 103
2.
ON THE HYERS-ULAM STABILITY OF AN ADDITIVE FUNCTIONAL INEQUALITY, Journal of the Chungcheong Mathematical Society, 2013, 26, 4, 671
3.
ON THE STABILITY OF A GENERAL ADDITIVE FUNCTIONAL INEQUALITY IN BANACH SPACES, Journal of the Chungcheong Mathematical Society, 2013, 26, 4, 907
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