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APPROXIMATELY QUADRATIC DERIVATIONS AND GENERALIZED HOMOMORPHISMS

정용수|박규홍
한국수학교육학회|2010.05|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제17권 제2호|pp. 115-130

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참고문헌

키워드

stabilityquadratic derivationapproximate quadratic derivation
주제분류수학

초록

Let A be a unital Banach algebra. If f : A ! A is an approximately quadratic derivation in the sense of Hyers-Ulam-J.M. Rassias, then f : A ! A is an exactly quadratic derivation. On the other hands, let A and B be Banach algebras. Any approximately generalized homomorphism f : A ! B corresponding to Cauchy,Jensen functional equation can be estimated by a generalized homomorphism.

Abstract

Let A be a unital Banach algebra. If f : A ! A is an approximately quadratic derivation in the sense of Hyers-Ulam-J.M. Rassias, then f : A ! A is an exactly quadratic derivation. On the other hands, let A and B be Banach algebras. Any approximately generalized homomorphism f : A ! B corresponding to Cauchy,Jensen functional equation can be estimated by a generalized homomorphism.

참고문헌 (26)

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