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APPROXIMATE QUARTIC LIE -DERIVATIONS

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한국수학교육학회|2015.11|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제22권 제4호|pp. 389-401

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참고문헌

키워드

Hyers–Ulam–Rassias stabilityQuartic mappingLie *–derivation Banach *–algebrafixed point alternative
주제분류수학

초록

We will show the general solution of the functional equation f(x + ay) + f(x - ay) + 2(a2 - 1)f(x) = a2f(x + y) + a2f(x - y) + 2a2(a2 -1)f(y) and investigate the stability of quartic Lie *-derivations associated with the given functional equation

Abstract

We will show the general solution of the functional equation f(x + ay) + f(x - ay) + 2(a2 - 1)f(x) = a2f(x + y) + a2f(x - y) + 2a2(a2 -1)f(y) and investigate the stability of quartic Lie *-derivations associated with the given functional equation

참고문헌 (19)

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