A note on dominant contractions of Jordan algebras
We consider two positive contractions T, S : L1(A, τ) −→ L1(A, τ) such that T ≤ S, here (A, τ) is a semi-finite JBW-algebra. If there is an n0 ∈ N such that ||S^{n_0} − T^{n_0}|| < 1, we prove that ||S^n − T^n|| < 1 holds for every n ≥ n_0.
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| Format: | Article |
| Language: | English |
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The Scientific and Technological Research Council of Turkey
2010
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| Online Access: | http://irep.iium.edu.my/1594/ http://irep.iium.edu.my/1594/ http://irep.iium.edu.my/1594/ http://irep.iium.edu.my/1594/1/mfstha-tjm%282010%29.pdf |
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iium-15942011-09-05T04:27:07Z http://irep.iium.edu.my/1594/ A note on dominant contractions of Jordan algebras Mukhamedov, Farrukh Temir, Seyit Akin, Hasan QA Mathematics We consider two positive contractions T, S : L1(A, τ) −→ L1(A, τ) such that T ≤ S, here (A, τ) is a semi-finite JBW-algebra. If there is an n0 ∈ N such that ||S^{n_0} − T^{n_0}|| < 1, we prove that ||S^n − T^n|| < 1 holds for every n ≥ n_0. The Scientific and Technological Research Council of Turkey 2010 Article PeerReviewed application/pdf en http://irep.iium.edu.my/1594/1/mfstha-tjm%282010%29.pdf Mukhamedov, Farrukh and Temir, Seyit and Akin, Hasan (2010) A note on dominant contractions of Jordan algebras. Turkish Journal of Mathematics, 34 (1). pp. 85-93. ISSN 1300-0098 http://journals.tubitak.gov.tr/math/ 10.3906/mat-0810-24 |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
International Islamic University Malaysia |
| building |
IIUM Repository |
| collection |
Online Access |
| language |
English |
| topic |
QA Mathematics |
| spellingShingle |
QA Mathematics Mukhamedov, Farrukh Temir, Seyit Akin, Hasan A note on dominant contractions of Jordan algebras |
| description |
We consider two positive contractions T, S : L1(A, τ) −→ L1(A, τ) such that T ≤ S, here (A, τ) is a semi-finite JBW-algebra. If there is an n0 ∈ N such that ||S^{n_0} − T^{n_0}|| < 1, we prove that ||S^n − T^n|| < 1
holds for every n ≥ n_0. |
| format |
Article |
| author |
Mukhamedov, Farrukh Temir, Seyit Akin, Hasan |
| author_facet |
Mukhamedov, Farrukh Temir, Seyit Akin, Hasan |
| author_sort |
Mukhamedov, Farrukh |
| title |
A note on dominant contractions of Jordan algebras |
| title_short |
A note on dominant contractions of Jordan algebras |
| title_full |
A note on dominant contractions of Jordan algebras |
| title_fullStr |
A note on dominant contractions of Jordan algebras |
| title_full_unstemmed |
A note on dominant contractions of Jordan algebras |
| title_sort |
note on dominant contractions of jordan algebras |
| publisher |
The Scientific and Technological Research Council of Turkey |
| publishDate |
2010 |
| url |
http://irep.iium.edu.my/1594/ http://irep.iium.edu.my/1594/ http://irep.iium.edu.my/1594/ http://irep.iium.edu.my/1594/1/mfstha-tjm%282010%29.pdf |
| first_indexed |
2023-09-18T20:08:58Z |
| last_indexed |
2023-09-18T20:08:58Z |
| _version_ |
1777407349222277120 |