Nearly Quadratic n-Derivations on Non-Archimedean Banach Algebras
Joint Authors
Lee, Young Whan
Gordji, Madjid Eshaghi
Kim, Gwang Hui
Alizadeh, Badrkhan
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-20
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Let n>1 be an integer, let A be an algebra, and X be an A-module.
A quadratic function D:A→X is called a quadratic n-derivation if D(∏i=1nai)=D(a1)a22⋯an2+a12D(a2)a32⋯an2+⋯+a12a22⋯an−12D(an) for all a1,...,an∈A.
We investigate the Hyers-Ulam stability of quadratic n-derivations from non-Archimedean Banach algebras into non-Archimedean Banach modules by using the Banach fixed point theorem.
American Psychological Association (APA)
Gordji, Madjid Eshaghi& Alizadeh, Badrkhan& Lee, Young Whan& Kim, Gwang Hui. 2012. Nearly Quadratic n-Derivations on Non-Archimedean Banach Algebras. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-511701
Modern Language Association (MLA)
Gordji, Madjid Eshaghi…[et al.]. Nearly Quadratic n-Derivations on Non-Archimedean Banach Algebras. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-10.
https://search.emarefa.net/detail/BIM-511701
American Medical Association (AMA)
Gordji, Madjid Eshaghi& Alizadeh, Badrkhan& Lee, Young Whan& Kim, Gwang Hui. Nearly Quadratic n-Derivations on Non-Archimedean Banach Algebras. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-511701
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-511701