Stability of a Bi-Additive Functional Equation in Banach Modules Over a C⋆-Algebra

Joint Authors

Bae, Jae-Hyeong
Park, Won-Gil

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-07-05

Country of Publication

Egypt

No. of Pages

12

Main Subjects

Mathematics

Abstract EN

We solve the bi-additive functional equation f(x+y,z−w)+f(x−y,z+w)=2f(x,z)−2f(y,w) and prove that every bi-additive Borel function is bilinear.

And we investigate the stability of a bi-additive functional equation in Banach modules over a unital C⋆-algebra.

American Psychological Association (APA)

Park, Won-Gil& Bae, Jae-Hyeong. 2012. Stability of a Bi-Additive Functional Equation in Banach Modules Over a C⋆-Algebra. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-991995

Modern Language Association (MLA)

Park, Won-Gil& Bae, Jae-Hyeong. Stability of a Bi-Additive Functional Equation in Banach Modules Over a C⋆-Algebra. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-991995

American Medical Association (AMA)

Park, Won-Gil& Bae, Jae-Hyeong. Stability of a Bi-Additive Functional Equation in Banach Modules Over a C⋆-Algebra. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-991995

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-991995