Orthogonality preserving infinite dimensional quadratic stochastic operators
In the present paper, we consider a notion of orthogonal preserving nonlinear operators. We introduce π-Volterra quadratic operators finite and infinite dimensional settings. It is proved that any orthogonal preserving quadratic operator on finite dimensional simplex is π-Volterra quadratic operator...
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| Format: | Article |
| Language: | English English |
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American Institute of Physics
2015
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| Online Access: | http://irep.iium.edu.my/44787/ http://irep.iium.edu.my/44787/1/mf-hasan-AIP-2015.pdf http://irep.iium.edu.my/44787/4/44787_Orthogonality%20preserving%20infinite%20dimensional%20quadratic%20stochastic%20operators_SCOPUS.pdf |
| _version_ | 1848782665931554816 |
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| author | Akin, Hasan Mukhamedov, Farrukh |
| author_facet | Akin, Hasan Mukhamedov, Farrukh |
| author_sort | Akin, Hasan |
| building | IIUM Repository |
| collection | Online Access |
| description | In the present paper, we consider a notion of orthogonal preserving nonlinear operators. We introduce π-Volterra quadratic operators finite and infinite dimensional settings. It is proved that any orthogonal preserving quadratic operator on finite dimensional simplex is π-Volterra quadratic operator. In infinite dimensional setting, we describe all π-Volterra operators in terms orthogonal preserving operators. |
| first_indexed | 2025-11-14T16:09:05Z |
| format | Article |
| id | iium-44787 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T16:09:05Z |
| publishDate | 2015 |
| publisher | American Institute of Physics |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-447872018-03-06T03:49:28Z http://irep.iium.edu.my/44787/ Orthogonality preserving infinite dimensional quadratic stochastic operators Akin, Hasan Mukhamedov, Farrukh QA Mathematics In the present paper, we consider a notion of orthogonal preserving nonlinear operators. We introduce π-Volterra quadratic operators finite and infinite dimensional settings. It is proved that any orthogonal preserving quadratic operator on finite dimensional simplex is π-Volterra quadratic operator. In infinite dimensional setting, we describe all π-Volterra operators in terms orthogonal preserving operators. American Institute of Physics 2015 Article PeerReviewed application/pdf en http://irep.iium.edu.my/44787/1/mf-hasan-AIP-2015.pdf application/pdf en http://irep.iium.edu.my/44787/4/44787_Orthogonality%20preserving%20infinite%20dimensional%20quadratic%20stochastic%20operators_SCOPUS.pdf Akin, Hasan and Mukhamedov, Farrukh (2015) Orthogonality preserving infinite dimensional quadratic stochastic operators. AIP Conference Proceedings, 1676. 020008-1. ISSN 0094-243X E-ISSN 1551-7616 http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4930434 10.1063/1.4930434 |
| spellingShingle | QA Mathematics Akin, Hasan Mukhamedov, Farrukh Orthogonality preserving infinite dimensional quadratic stochastic operators |
| title | Orthogonality preserving infinite dimensional quadratic stochastic operators |
| title_full | Orthogonality preserving infinite dimensional quadratic stochastic operators |
| title_fullStr | Orthogonality preserving infinite dimensional quadratic stochastic operators |
| title_full_unstemmed | Orthogonality preserving infinite dimensional quadratic stochastic operators |
| title_short | Orthogonality preserving infinite dimensional quadratic stochastic operators |
| title_sort | orthogonality preserving infinite dimensional quadratic stochastic operators |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/44787/ http://irep.iium.edu.my/44787/ http://irep.iium.edu.my/44787/ http://irep.iium.edu.my/44787/1/mf-hasan-AIP-2015.pdf http://irep.iium.edu.my/44787/4/44787_Orthogonality%20preserving%20infinite%20dimensional%20quadratic%20stochastic%20operators_SCOPUS.pdf |