On quasi quantum quadratic operators of M_2(C)

In the present paper we study quasi quantum quadratic operators (q.q.o) acting on the algebra of 2 × 2 matrices M2(C). We describe quasi q.q.o. with Haar state, and prove that if a symmetric quasi q.q.o. with Haar state is q-pure, then it cannot be positive.

Bibliographic Details
Main Authors: Mukhamedov, Farrukh, Abduganiev, Abduaziz
Other Authors: Kilicman, Adem
Format: Proceeding Paper
Language:English
English
Published: Springer Science+Business Media Singapore 2014 2014
Subjects:
Online Access:http://irep.iium.edu.my/37460/
http://irep.iium.edu.my/37460/1/UPM-conf-2014.pdf
http://irep.iium.edu.my/37460/2/mfaa-SpringerUPM%282014%29.pdf
_version_ 1848781416729411584
author Mukhamedov, Farrukh
Abduganiev, Abduaziz
author2 Kilicman, Adem
author_facet Kilicman, Adem
Mukhamedov, Farrukh
Abduganiev, Abduaziz
author_sort Mukhamedov, Farrukh
building IIUM Repository
collection Online Access
description In the present paper we study quasi quantum quadratic operators (q.q.o) acting on the algebra of 2 × 2 matrices M2(C). We describe quasi q.q.o. with Haar state, and prove that if a symmetric quasi q.q.o. with Haar state is q-pure, then it cannot be positive.
first_indexed 2025-11-14T15:49:13Z
format Proceeding Paper
id iium-37460
institution International Islamic University Malaysia
institution_category Local University
language English
English
last_indexed 2025-11-14T15:49:13Z
publishDate 2014
publisher Springer Science+Business Media Singapore 2014
recordtype eprints
repository_type Digital Repository
spelling iium-374602014-11-28T03:48:26Z http://irep.iium.edu.my/37460/ On quasi quantum quadratic operators of M_2(C) Mukhamedov, Farrukh Abduganiev, Abduaziz QA Mathematics In the present paper we study quasi quantum quadratic operators (q.q.o) acting on the algebra of 2 × 2 matrices M2(C). We describe quasi q.q.o. with Haar state, and prove that if a symmetric quasi q.q.o. with Haar state is q-pure, then it cannot be positive. Springer Science+Business Media Singapore 2014 Kilicman, Adem Leong, Wah June Eshkuvatov, Zainidin 2014 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/37460/1/UPM-conf-2014.pdf application/pdf en http://irep.iium.edu.my/37460/2/mfaa-SpringerUPM%282014%29.pdf Mukhamedov, Farrukh and Abduganiev, Abduaziz (2014) On quasi quantum quadratic operators of M_2(C). In: International Conference On Mathematical Sciences And Statistics 2013, 5-7 February 2013, Kuala Lumpur. http://link.springer.com/chapter/10.1007/978-981-4585-33-0_18 10.1007/978-981-4585-33-0_18
spellingShingle QA Mathematics
Mukhamedov, Farrukh
Abduganiev, Abduaziz
On quasi quantum quadratic operators of M_2(C)
title On quasi quantum quadratic operators of M_2(C)
title_full On quasi quantum quadratic operators of M_2(C)
title_fullStr On quasi quantum quadratic operators of M_2(C)
title_full_unstemmed On quasi quantum quadratic operators of M_2(C)
title_short On quasi quantum quadratic operators of M_2(C)
title_sort on quasi quantum quadratic operators of m_2(c)
topic QA Mathematics
url http://irep.iium.edu.my/37460/
http://irep.iium.edu.my/37460/
http://irep.iium.edu.my/37460/
http://irep.iium.edu.my/37460/1/UPM-conf-2014.pdf
http://irep.iium.edu.my/37460/2/mfaa-SpringerUPM%282014%29.pdf