과제정보
The authors would like to express his sincere thanks to the referees for this paper.
참고문헌
- G. An, Characterization of n-Jordan homomorphism, Lin. Multi. Algebra, 66(4), (2018), 671-680. https://doi.org/10.1080/03081087.2017.1318818
- R. Badora, On approximate ring homomorphisms, J. Math. Anal. Appl. 276 (2002), 589-597. https://doi.org/10.1016/S0022-247X(02)00293-7
- A. Bodaghi and H. Inceboz, n-Jordan homomorphisms on commutative algebras, Acta. Math. Univ. Comenianae, 87(1), (2018), 141-146 .
- A. Bodaghi and H. Inceboz, Extension of Zelazko's theorem to n-Jordan homomorphisms, Adv. Pure Appl. Math. 10(2) (2019), 165-170. https://doi.org/10.1515/apam-2016-0075
- 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
- A. Ebadian, A. Jabbari and N. Kanzi, n-Jordan homomorphisms and Pseudo n-Jordan homomorphisms on Banach algebras, Mediterr. J. Math. 14(241), (2017), 1-11. https://doi.org/10.1007/s00009-016-0833-2
- M. Eshaghi Gordji, n-Jordan homomorphisms, Bull. Aust. Math. Soc. 80(1), (2009), 159-164. https://doi.org/10.1017/S000497270900032X
- M. Eshaghi Gordji, N. Ghobadipour and C. Park, Jordan *-homomorphisms on C*-algebras, Operators and Matrices, 5 (2011), 541-551.
- M. Eshaghi Gordji, T. Karimi, and S. K. Gharetapeh, Approximately n-Jordan Homomorphisms on Banach algebras, J. Ineq. Appli. 2009, Article ID 870843, (2009), 1-8. https://doi.org/10.1155/2009/620758
- Z. Gajda, On stability of additive mappings, Inter. J. Math. Math. Sci. 14 (1991), 431-434. https://doi.org/10.1155/S016117129100056X
- I. N. Herstein, Jordan homomorphisms, Trans. Amer. Math. Soc. 81 (1956), 331-341. https://doi.org/10.1090/S0002-9947-1956-0076751-6
- D. H. Hyers, On the stability of the linear functional equation, Proc. Nat. Acad. Sci. U. S. A. 27 (1941), 222-224. https://doi.org/10.1073/pnas.27.4.222
- Y. H. Lee, Stability of n-Jordan Homomorphisms from a Normed Algebra to a Banach Algebra, Abst. Appli. Anal. 2013, Article ID 691025, (2013), 1-5.
- T. Miura, S. E. Takahasi, and G. Hirasawa, Hyers-Ulam-Rassias stability of Jordan homomorphisms on Banach algebras, J. Ineq. Appl. 2005 (2005), 435-441. https://doi.org/10.1155/JIA.2005.435
- M. Neghabi, A. Bodaghi and A. Zivari-Kazempour, Characterization of mixed n-Jordan homomorphisms and pseudo n-Jordan homomorphisms, Filomat, to appear.
- C. Park, Homomorphisms between Poisson JC*-algebras, Bull. Brazilian Math. Soc. 36 (2005), 79-97. https://doi.org/10.1007/s00574-005-0029-z
- C. Park and A. Nejati, Homomorphisms and derivation on C*-algebras, Abst. Appli. Anal. 2007 Article ID 80630, (2007), 1-12.
- 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
- Th. M. Rassias, The stability of mappings and related topics, in Report on the 27th ISFE, Aequationes Math. 39 (1990), 292-293.
- S. M. Ulam, Problems in Modern Mathematics, Chap. VI, Wiley, New York, 1960.
- W. Zelazko, A characterization of multiplicative linear functionals in complex Banach algebras, Studia Math. 30 (1968), 83-85. https://doi.org/10.4064/sm-30-1-83-85
- A. Zivari-Kazempour, A characterization of 3-Jordan homomorphism on Banach algebras, Bull. Aust. Math. Soc. 93(2), (2016), 301-306. https://doi.org/10.1017/S0004972715001057