On Supra-Additive and Supra-Multiplicative Maps
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,...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2013/108535 |
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| _version_ | 1832549386874257408 |
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| author | Jin Xi Chen Zi Li Chen |
| author_facet | Jin Xi Chen Zi Li Chen |
| author_sort | Jin Xi Chen |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-79a52408f58e44848d83141c0ca1ae74 |
| institution | Kabale University |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-79a52408f58e44848d83141c0ca1ae742025-02-03T06:11:29ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/108535108535On Supra-Additive and Supra-Multiplicative MapsJin Xi Chen0Zi Li Chen1College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, ChinaDepartment of Mathematics, Southwest Jiaotong University, Chengdu 610031, ChinaLet 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.http://dx.doi.org/10.1155/2013/108535 |
| spellingShingle | Jin Xi Chen Zi Li Chen On Supra-Additive and Supra-Multiplicative Maps Journal of Function Spaces and Applications |
| title | On Supra-Additive and Supra-Multiplicative Maps |
| title_full | On Supra-Additive and Supra-Multiplicative Maps |
| title_fullStr | On Supra-Additive and Supra-Multiplicative Maps |
| title_full_unstemmed | On Supra-Additive and Supra-Multiplicative Maps |
| title_short | On Supra-Additive and Supra-Multiplicative Maps |
| title_sort | on supra additive and supra multiplicative maps |
| url | http://dx.doi.org/10.1155/2013/108535 |
| work_keys_str_mv | AT jinxichen onsupraadditiveandsupramultiplicativemaps AT zilichen onsupraadditiveandsupramultiplicativemaps |