Yong Soo JUNG, Kyoo-Hong PARK

7289

A perturbation of m-order derivations on Banach algebras

Let \A be a unital Banach algebra and let m, 1 \leq m \leq 4, be an integer. If f: \A \to \A is an approximate m-order derivation in the sense of Hyers-Ulam-Rassias, then f: \A \to \A is an exact m-order derivation.
Anahtar Kelimeler:

m-order derivation, approximate m-order derivation, stability.

A perturbation of m-order derivations on Banach algebras

Let \A be a unital Banach algebra and let m, 1 \leq m \leq 4, be an integer. If f: \A \to \A is an approximate m-order derivation in the sense of Hyers-Ulam-Rassias, then f: \A \to \A is an exact m-order derivation.
Keywords:

m-order derivation, approximate m-order derivation, stability.,

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Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
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