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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2008.1
- 수록면
- 529 - 543 (15page)
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초록· 키워드
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It is shown that every almost linear mapping h : A → B of a unital Poisson
C*-algebra A to a unital Poisson C*-algebra B is a Poisson C*-algebra homomorphism when h(2nuy) = h(2ⁿu)h(y) or h(3ⁿuy) = h(3ⁿu)h(y) for all y ∈ A, all unitary elements u ∈ A and n = 0, 1, 2, · · · , and that every almost linear almost multiplicative mapping h : A → B is a Poisson C*-algebra homomorphism when h(2x) = 2h(x) or h(3x) = 3h(x) for all x ∈ A. Here the numbers 2, 3 depend on the functional equations given in the almost linear mappings or in the almost linear almost multiplicative mappings. We prove the Cauchy–Rassias stability of Poisson C*-algebra homomorphisms in unital Poisson C*-algebras, and of homomorphisms in Poisson Banach modules over a unital Poisson C*-algebra.
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참고문헌 (19)
참고문헌 신청
C. Park / 2002 / On the Jensen’s equation in Banach modules / Taiwanese J. Math 6 : 523 ~ 531
C. Park / 2002 / On the stability of the linear mapping in Banach modules / J. Math. Anal. Appl 275 : 711 ~ 720
C. Park / 2003 / Modified Trif ’s functional equations in Banach modules over a C -algebra and approximate algebra homomorphisms / J. Math. Anal. Appl 278 : 93 ~ 108
K. Jun / 1999 / A generalization of the Hyers?Ulam?Rassias stability of Jensen’s equation / J. Math. Anal. Appl 238 : 305 ~ 315
K. R. Goodearl / 2000 / Quantum n-space as a quotient of classical n-space / Trans. Amer. Math. Soc 352 : 5855 ~ 5876
C. Park / 2002 / On the stability of the linear mapping in Banach modules / J. Math. Anal. Appl 275 : 711 ~ 720
C. Park / 2003 / Modified Trif ’s functional equations in Banach modules over a C -algebra and approximate algebra homomorphisms / J. Math. Anal. Appl 278 : 93 ~ 108
K. Jun / 1999 / A generalization of the Hyers?Ulam?Rassias stability of Jensen’s equation / J. Math. Anal. Appl 238 : 305 ~ 315
K. R. Goodearl / 2000 / Quantum n-space as a quotient of classical n-space / Trans. Amer. Math. Soc 352 : 5855 ~ 5876
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