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On the Stability of the Quadratic Equation in Banach Modules over a Banach Algebra

Kil-Woung Jun|Hark-Mahn Kim
경북대학교 자연과학대학 수학과|2004.09|Kyungpook Mathematical Journal|제44권 제3호|pp. 385-393

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참고문헌

주제분류수학

초록

Abstract

We prove the Hyers-Ulam-Rassias stability of quadratic functional equations f(x + y)+ f(x y ) = (1+ 2)(f(x)+ f(y)) and f(x + y)+ f(x y ) = (1+)(f(x)+ f(y)) between Banach modules over a Banach algebra.

참고문헌 (15)

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  14. "On the stability of functional equations in Banach spaces", 251, pp.264~284 (2000)
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관련 논문AI추천

On the stability of mappings in Banach algebrasYoung Whan Lee대한수학회 · 대한수학회논문집2003 · 제18권 제2호Functional equations in Banach modules and approximate algebra homomorphisms in Banach algebras박춘길, 부덕훈, Hassan Azadi Kenary강원경기수학회 · 한국수학논문집2011 · 제19권 제1호On the Stability of a Higher Functional Equation in Banach Algebras정용수경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제4호A fixed point approach to the stability of quadratic functional equation김태수, 이기석, 정순모대한수학회 · 대한수학회보2006 · 제43권 제3호On the solution and stability of the quadratic type functional equations이은휘대한수학회 · 대한수학회논문집2004 · 제19권 제3호A note on the Hyers-Ulam-Rassias stability of a quadratic equation강지형, 이양희, 이창주대한수학회 · 대한수학회보2004 · 제41권 제3호

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