과제정보
연구 과제 주관 기관 : National Research Foundation of Korea (NRF)
참고문헌
- T. Aoki, On the stability of the linear transformation in Banach spaces, J. Math. Soc. Japan 2 (1950), 64-66. https://doi.org/10.2969/jmsj/00210064
- R. Badora, On approximate ring homomorphisms, J. Math. Anal. Appl. 276 (2002), 589-597. https://doi.org/10.1016/S0022-247X(02)00293-7
- R. Badora, On approximate derivations, Math. Inequal. Appl. 9 (2006), 167-173.
- H. E. Bell and W. S. Martindale III, Centralizing mappings of semiprime rings, Canad. Math. Bull. 30 (1987), 92-101. https://doi.org/10.4153/CMB-1987-014-x
- D. G. Bourgin, Approximately isometric and multiplicative transformations on continuous function rings, Duke Math. J. 16 (1949), 385-397. https://doi.org/10.1215/S0012-7094-49-01639-7
- M. Bresar, Centralizing mappings on von Neumann algebras, Proc. Amer. Math. Soc. 111 (1991), 501-510. https://doi.org/10.1090/S0002-9939-1991-1028283-2
- O. Hatori and J. Wada, Ring derivations on semi-simple commutative Banach algebras, Tokyo J. Math. 15 (1992), 223-229. https://doi.org/10.3836/tjm/1270130262
- D. H. Hyers, On the stability of the linear functional equation, Proc. Natl. Acad. Sci. U.S.A. 27 (1941), 222-224. https://doi.org/10.1073/pnas.27.4.222
- B. E. Johnson, Continuity of derivations on commutative Banach algebras, Amer. J. Math. 91 (1969), 1-10. https://doi.org/10.2307/2373262
- M. Mathieu and G.J. Murphy, Derivations mapping into the radical, Arch. Math. (Basel) 57 (1991), 469-474. https://doi.org/10.1007/BF01246745
- T. Miura, G. Hirasawa and S.-E. Takahasi, A perturbation of ring derivations on Banach algebras, J. Math. Anal. Appl. 319 (2006), 522-530. https://doi.org/10.1016/j.jmaa.2005.06.060
- Th. M. Rassias, On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-300. https://doi.org/10.1090/S0002-9939-1978-0507327-1
- P. Semrl, The functional equation of multiplicative derivation is superstable on standard operator algebras, Integr. Equat. Oper. Theory 18 (1994), 118-122. https://doi.org/10.1007/BF01225216
- I. M. Singer and J. Wermer, Derivations on commutative normed algebras, Math. Ann. 129 (1955), 260-264. https://doi.org/10.1007/BF01362370
- M. P. Thomas, The image of a derivation is contained in the radical, Ann. of Math. 128 (1988), 435-460. https://doi.org/10.2307/1971432
- S. M. Ulam, A Collection of Mathematical Problems, Interscience Publ., New York, 1960.