Open AccessA perturbation of m-order derivations on Banach algebras
Author(s) -
Yong-Soo Jung,
KYOO-HONG PARK
Publication year - 2009
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.454
H-Index - 27
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-0809-36
Subject(s) - mathematics , unital , order (exchange) , integer (computer science) , pure mathematics , perturbation (astronomy) , banach space , banach algebra , discrete mathematics , algebra over a field , physics , quantum mechanics , finance , computer science , programming language , economics
doi:10.3906/mat-0809-36 A perturbation of m-order derivations on Banach algebras Yong-Soo Jung ∗ and Kyoo-Hong Park Let A be a unital Banach algebra and let m, 1 ≤ m ≤ 4, be an integer. If f: A → A is an approximate m-order derivation in the sense of Hyers-Ulam-Rassias, then f: A → A is an exact m-order derivation