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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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We deal with the Hyers-Ulam stability problem of linear map-pings from a vector space into a Banach one with respect to the followingfunctional equation:f −x + y3 + f x − 3z3 + f 3x − y + 3z3 = f(x).
We then combine this equation with other ones and establish the Hyers-Ulam stability of several kinds of linear mappings, among which the al-gebra ( -) homomorphisms, the derivations, the multipliers and others.
We thus repair and improve some previous assertions in the literature.
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참고문헌 (20)
참고문헌 신청
B. Blackadar / 2006 / Operator Algebras, Theory of C?-Algebras and von Neumann Algebras / Springer
C. Park / 2009 / Stability of the Jensen-type functional equation in C?- algebras: A fixed point approch / Abstr. Appl. Anal 2009 : 17 ~
D. G. Bourgin / 1949 / Approximately isometric and multiplicative transformations on contin- uous function rings / Duke Math. J 16 : 385 ~ 397
D. H. Hyers / 1941 / On the stability of the linear functional equation / Proc. Nat. Acad. Sci. U.S.A 27 : 222 ~ 224
GH. Abbaspour / 2009 / Hyers-Ulam-Rassias and Ulam-G˘avruta-Rassias sta- bility of generalized quadtratic functional equations / Advances in Applied Mathematical Analysis 4
C. Park / 2009 / Stability of the Jensen-type functional equation in C?- algebras: A fixed point approch / Abstr. Appl. Anal 2009 : 17 ~
D. G. Bourgin / 1949 / Approximately isometric and multiplicative transformations on contin- uous function rings / Duke Math. J 16 : 385 ~ 397
D. H. Hyers / 1941 / On the stability of the linear functional equation / Proc. Nat. Acad. Sci. U.S.A 27 : 222 ~ 224
GH. Abbaspour / 2009 / Hyers-Ulam-Rassias and Ulam-G˘avruta-Rassias sta- bility of generalized quadtratic functional equations / Advances in Applied Mathematical Analysis 4
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