Stability of the Exponential Functional Equation in Riesz Algebras
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-05
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
We deal with the stability of the exponential Cauchy functional equation F(x+y)=F(x)F(y) in the class of functions F:G→L mapping a group (G, +) into a Riesz algebra L.
The main aim of this paper is to prove that the exponential Cauchy functional equation is stable in the sense of Hyers-Ulam and is not superstable in the sense of Baker.
To prove the stability we use the Yosida Spectral Representation Theorem.
American Psychological Association (APA)
Batko, Bogdan. 2014. Stability of the Exponential Functional Equation in Riesz Algebras. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-4.
https://search.emarefa.net/detail/BIM-1014898
Modern Language Association (MLA)
Batko, Bogdan. Stability of the Exponential Functional Equation in Riesz Algebras. Abstract and Applied Analysis No. 2014 (2014), pp.1-4.
https://search.emarefa.net/detail/BIM-1014898
American Medical Association (AMA)
Batko, Bogdan. Stability of the Exponential Functional Equation in Riesz Algebras. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-4.
https://search.emarefa.net/detail/BIM-1014898
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014898