在這篇論文中,我們將研究幾個有關C*代數間的近似同構問題.

In this thesis, we will study several problems about approximate mappings between C*-algebras.

1 Introduction...(1)
2 Notations and Terminalogies...(3)
3 Main results...(4)
4 References...(18)

[1] Z. Gajda, On stability of additive mappings, Intermat. J. Math. Sci. (1991), 431-434.

[2] P. Gavruta, A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings, J. Math. Anal. Appl.184 (1994), 431-436.

[3] D. H. Hyers, On the stability of the linear functional equation, Proc. Natl. Acad. Sci. U.S.A.27 (1941), 222-224.

[4] R. V. Kadison and J. R. Ringrose, Fundamentals of the theory of operator algebras, Vol.I: Elementary Theory, Pure and Applied Mathematics, Vol. 100, Academic Press, New York, (1983). MR 85j:46099.

[5] Chun-Gil Park, On an approximate automorphism on a C*-algebra, Pro. Ame. Math. Soc.132 (2004), 1739-1745.

[6] TH. M. Rassias, On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc.72 (1978), 297-300.

[7] Th. M. Rassias and P. Semerl, On the behavior of mappings which do not satisfy Hyers-Ulam stability, Proc. Amer. Math. Soc.173 (1993) 325-338.

[8] S. M. Ulam, "Problems in Modern Mathematics," Chap. VI, Science eds., Wiley, New York, 1960.