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