STABILITY OF AN ADDITIVE FUNCTIONAL INEQUALITY IN PROPER CQ -ALGEBRAS

STABILITY OF AN ADDITIVE FUNCTIONAL INEQUALITY IN PROPER CQ -ALGEBRAS

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 wit...

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Veröffentlicht in:Taehan Suhakhoe hoebo 2011, Vol.48 (4), p.853-871
Hauptverfasser: Lee, Jung-Rye, Park, Choon-Kil, Shin, Dong-Yun
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Sprache:kor
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Zusammenfassung: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).
ISSN:1015-8634