On Kadison-Schwarz Type Quantum Quadratic Operators on

We study the description of Kadison-Schwarz type quantum quadratic operators (q.q.o.) acting from into . Note that such kind of operators is a generalization of quantum convolution. By means of such a description we provide an example of q.q.o. which is not a Kadison-Schwartz operator. Moreover, we...

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Main Authors: Farrukh Mukhamedov, Abduaziz Abduganiev
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/278606
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author Farrukh Mukhamedov
Abduaziz Abduganiev
author_facet Farrukh Mukhamedov
Abduaziz Abduganiev
author_sort Farrukh Mukhamedov
collection DOAJ
description We study the description of Kadison-Schwarz type quantum quadratic operators (q.q.o.) acting from into . Note that such kind of operators is a generalization of quantum convolution. By means of such a description we provide an example of q.q.o. which is not a Kadison-Schwartz operator. Moreover, we study dynamics of an associated nonlinear (i.e., quadratic) operators acting on the state space of .
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institution Kabale University
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spelling doaj-art-e7e51e346ef04a94ad88de45c68fe0a22025-02-03T06:08:29ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/278606278606On Kadison-Schwarz Type Quantum Quadratic Operators onFarrukh Mukhamedov0Abduaziz Abduganiev1Department of Computational & Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, P.O. Box 141, 25710 Kuantan, Pahang, MalaysiaDepartment of Computational & Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, P.O. Box 141, 25710 Kuantan, Pahang, MalaysiaWe study the description of Kadison-Schwarz type quantum quadratic operators (q.q.o.) acting from into . Note that such kind of operators is a generalization of quantum convolution. By means of such a description we provide an example of q.q.o. which is not a Kadison-Schwartz operator. Moreover, we study dynamics of an associated nonlinear (i.e., quadratic) operators acting on the state space of .http://dx.doi.org/10.1155/2013/278606
spellingShingle Farrukh Mukhamedov
Abduaziz Abduganiev
On Kadison-Schwarz Type Quantum Quadratic Operators on
Abstract and Applied Analysis
title On Kadison-Schwarz Type Quantum Quadratic Operators on
title_full On Kadison-Schwarz Type Quantum Quadratic Operators on
title_fullStr On Kadison-Schwarz Type Quantum Quadratic Operators on
title_full_unstemmed On Kadison-Schwarz Type Quantum Quadratic Operators on
title_short On Kadison-Schwarz Type Quantum Quadratic Operators on
title_sort on kadison schwarz type quantum quadratic operators on
url http://dx.doi.org/10.1155/2013/278606
work_keys_str_mv AT farrukhmukhamedov onkadisonschwarztypequantumquadraticoperatorson
AT abduazizabduganiev onkadisonschwarztypequantumquadraticoperatorson