On Supra-Additive and Supra-Multiplicative Maps
Joint Authors
Source
Journal of Function Spaces and Applications
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-3, 3 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-15
Country of Publication
Egypt
No. of Pages
3
Main Subjects
Abstract EN
Let A and B be ordered algebras over ℝ, where A has a generating positive cone and B satisfies the property that b2>0 if 0≠b∈B.
We give some conditions for a map T:A→B which is supra-additive and supra-multiplicative for all positive and negative elements to be linear and multiplicative; that is, T is a homomorphism of algebras.
Our results generalize some known results on supra-additive and supra-multiplicative maps between spaces of real functions.
American Psychological Association (APA)
Chen, Jin Xi& Chen, Zi Li. 2013. On Supra-Additive and Supra-Multiplicative Maps. Journal of Function Spaces and Applications،Vol. 2013, no. 2013, pp.1-3.
https://search.emarefa.net/detail/BIM-447077
Modern Language Association (MLA)
Chen, Jin Xi& Chen, Zi Li. On Supra-Additive and Supra-Multiplicative Maps. Journal of Function Spaces and Applications No. 2013 (2013), pp.1-3.
https://search.emarefa.net/detail/BIM-447077
American Medical Association (AMA)
Chen, Jin Xi& Chen, Zi Li. On Supra-Additive and Supra-Multiplicative Maps. Journal of Function Spaces and Applications. 2013. Vol. 2013, no. 2013, pp.1-3.
https://search.emarefa.net/detail/BIM-447077
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-447077