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

Mathematics

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