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.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
The Scientific and Technological Research Council of Turkey
2010
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/1594/ http://irep.iium.edu.my/1594/1/mfstha-tjm%282010%29.pdf |
| _version_ | 1848775879189069824 |
|---|---|
| author | Mukhamedov, Farrukh Temir, Seyit Akin, Hasan |
| author_facet | Mukhamedov, Farrukh Temir, Seyit Akin, Hasan |
| author_sort | Mukhamedov, Farrukh |
| building | IIUM Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T14:21:12Z |
| format | Article |
| id | iium-1594 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:21:12Z |
| publishDate | 2010 |
| publisher | The Scientific and Technological Research Council of Turkey |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | 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 |
| spellingShingle | QA Mathematics Mukhamedov, Farrukh Temir, Seyit Akin, Hasan A note on dominant contractions of Jordan algebras |
| title | 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_short | A note on dominant contractions of Jordan algebras |
| title_sort | note on dominant contractions of jordan algebras |
| topic | QA Mathematics |
| 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 |