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ON THE STABILITY OF A GENERALIZED ADDITIVE FUNCTIONAL EQUATION II

신동윤|이정례|이태극
한국수학교육학회|2007.05|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제14권 제2호|pp. 111-125

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주제분류수학

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Abstract

For an odd mapping, we study a generalized additive functional equation in Banach spaces and Banach modules over a C*-algebra. And we obtain generalized solutions of a generalized additive functional equation and so generalize the Cauchy-Rassia sstability.

참고문헌 (11)

  1. "On stability of aditive mapings"
  2. "A generalization of the HyersUlamRasiasstability of aproximatelyaditive mapings ON THE STABILITY OF A GENERALIZED ADITIVE FUNCTIONAL EQUAT ION I 125"
  3. "Homomorphisms betwenC-algebras asociated with the Triffunctional equation and linear derivations onC-algebras"
  4. "On the stability of the linear functional equation" (1941)
  5. "On the CauchyRasias tability of the Trif unctional equationin C-algebras"
  6. "On the stability of a generalized aditive functional equation"
  7. "On the stability of the linear maping in Banach modules"
  8. "Modied Trif’s functional equations in Banach modules over a C-algebraand aproximate algebra homomorphisms"
  9. "Automorphisms on aC-algebra nd isomorphisms betwen Lie JC-algebras asociated with a generalized aditive maping"
  10. "Generalized aditive mapping in Banach modulesand isomorphisms betwen C-algebras"
  11. "On the stability of the linear maping in Banach spaces"

관련 논문AI추천

On the Hyers-Ulam stability of a generalized quadratic and additive functional equation김학만, 전길웅대한수학회 · 대한수학회보2005 · 제42권 제1호On the Stability of the generalized $G$-type functional equationsGwang Hui Kim대한수학회 · 대한수학회논문집2005 · 제20권 제1호On the stability of a Pexiderized mixed type quadratic functional equation II이양희, 이진희, 전길웅대한수학회 · 대한수학회보2007 · 제44권 제3호On the solution and stability of the quadratic type functional equations이은휘대한수학회 · 대한수학회논문집2004 · 제19권 제3호On the solution of a bi-Jensen functional equation and its stability박원길, 배재형대한수학회 · 대한수학회보2006 · 제43권 제3호A Generalization of the Hyers-Ulam-Rassias Stability of the Pexiderized Quadratic Equations, IIKil-Woung Jun, Yang-Hi Lee경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제1호

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