Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
권호 표지

ON A CHARACTERIZATION OF LINEAR OPERATORS

  • Jun, Kil-Woung (DEPARTMENT OF MATHEMATICS, CHUNGNAM NATIONAL UNIVERSITY) ;
  • Lee, Yang-Hi (DEPARTMENT OF MATHEMATICS EDUCATION, KONGJU NATIONAL UNIVERSITY OF EDUCATION)
  • Published : 2001.08.01
Download PDF
⟨ Previous Next ⟩

Abstract

We obtain a characterization of linear operators on vector spaces and homomorphisms on algebras applying the stability properties of functional equations.

Keywords

References

  1. Internat. J. Math. Sci v.14 On stability of additive mappings Z. Gajda
  2. J. of Math. Anal. and Appl. v.184 A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings P. Gavruta
  3. Proc. Natl. Acad. Sci. v.27 On the stability of the linear functional equation D. H. Hyers
  4. J. Approx. Theory v.72 On the Hyers-Ulam stability of Ψ-additive mappings G. Isac;Th. M. Rassias
  5. appear new results on the stability mappings G. Isac;Th. M. Rassias
  6. J. Math. Anal. Appl v.239 On the Hyers-Ulam-Rassias stability of the Pexider equation K. W. Jun;D. S. Shin;B. D. Kim
  7. Proc. Amer. Math. Soc. v.72 On the stability of the linear mapping in Banach spaces Th. M. Rassias
  8. Proc. Amer. Math. Soc. v.114 On the behavior of mappings which does not satisfy Hyers-Ulam stability Th. M. Rassias;P. Semrl
  9. Acta Math. Hunger. v.71 no.4 On a characterization of linear operators L. Szekelyhidi
  10. Problems in Modern Mathematics S. M. Ulam