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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2010.1
- 수록면
- 115 - 130 (16page)
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초록· 키워드
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Let A be a unital Banach algebra. If f : A ! A is an approximately quadratic derivation in the sense of Hyers-Ulam-J.M. Rassias, then f : A ! A is an exactly quadratic derivation. On the other hands, let A and B be Banach algebras.
Any approximately generalized homomorphism f : A ! B corresponding to Cauchy,Jensen functional equation can be estimated by a generalized homomorphism.
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참고문헌 (26)
참고문헌 신청
B.E. Johnson / 1987 / Continuity of generalized homomorphisms / Bull. London Math. Soc 19 : 67 ~ 71
C. Baak / 2007 / θ-derivations on JB＊-triples / Bull. Braz. Math. Soc 38 (1) : 115 ~ 127
D.H. Hyers / 1941 / On the stability of the linear functional equation / Proc. Natl. Acad. Sci 27 : 222 ~ 224
D.H. Hyers / 1968 / On the asymptoticity aspect of Hyers-Ulam stability of mappings / Proc. Amer. Math. Soc 126 (2) : 425 ~ 430
F. Skof / 1983 / Local properties and approximations of operators / Rend. Sem. Mat. Milano 53 : 113 ~ 129
C. Baak / 2007 / θ-derivations on JB＊-triples / Bull. Braz. Math. Soc 38 (1) : 115 ~ 127
D.H. Hyers / 1941 / On the stability of the linear functional equation / Proc. Natl. Acad. Sci 27 : 222 ~ 224
D.H. Hyers / 1968 / On the asymptoticity aspect of Hyers-Ulam stability of mappings / Proc. Amer. Math. Soc 126 (2) : 425 ~ 430
F. Skof / 1983 / Local properties and approximations of operators / Rend. Sem. Mat. Milano 53 : 113 ~ 129
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