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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Main Authors:	Akin, Hasan, Mukhamedov, Farrukh
Format:	Article
Language:	English English
Published:	American Institute of Physics 2015
Subjects:	QA Mathematics
Online Access:	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

id	iium-44787
recordtype	eprints
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
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English
topic	QA Mathematics
spellingShingle	QA Mathematics Akin, Hasan Mukhamedov, Farrukh Orthogonality preserving infinite dimensional quadratic stochastic operators
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.
format	Article
author	Akin, Hasan Mukhamedov, Farrukh
author_facet	Akin, Hasan Mukhamedov, Farrukh
author_sort	Akin, Hasan
title	Orthogonality preserving infinite dimensional quadratic stochastic operators
title_short	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_sort	orthogonality preserving infinite dimensional quadratic stochastic operators
publisher	American Institute of Physics
publishDate	2015
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
first_indexed	2023-09-18T21:03:40Z
last_indexed	2023-09-18T21:03:40Z
_version_	1777410790227181568

Orthogonality preserving infinite dimensional quadratic stochastic operators

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