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Almost homomorphisms between Banach algebras

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초록

It is shown that for an almost algebra homomorphism between Banach algebras, there exists a unique algebra homomorphism near the almost algebra homomorphism. Moreover, we prove that for an almost algebra *-homomorphism between C*-algebras, there exists a unique algebra *-homomorphism near the almost algebra *-homomorphism, and that for an almost al-gebra *-homomorphism between JB*-algebras, there exists a unique algebra *-homomorphism near the almost algebra *-homomorphism

Abstract

It is shown that for an almost algebra homomorphism between Banach algebras, there exists a unique algebra homomorphism near the almost algebra homomorphism. Moreover, we prove that for an almost algebra *-homomorphism between C*-algebras, there exists a unique algebra *-homomorphism near the almost algebra *-homomorphism, and that for an almost al-gebra *-homomorphism between JB*-algebras, there exists a unique algebra *-homomorphism near the almost algebra *-homomorphism

참고문헌 (6)

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  2. Y. Jung, "On the stability of the functional equation f(x+y+xy) = f(x) + f(y) + xf(y) + yf(x)", J. Math. Anal. Appl., 274, pp.659~666 (2002)
  3. R.V. Kadison, "Means and convex combinations of unitary operators", Math. Scand., 57, pp.249~266 (1985)
  4. C. Park, "On the stability of the linear mapping in banach modules", J. Math. Anal. Appl., 275, pp.711~720 (2002)
  5. Th.M. Rassias, "On the stability of the linear mapping in banach spaces", Proc. Amer. Math. Soc., 통권 : 72, pp.297~300 (1978)
  6. H. Upmeier, "Jordan algebras in analysis, operator theory, and quantum me-chanics", Regional Conference Series in Mathematics, 통권 : 67 (1987), Amer. Math. Soc.

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