On dominant contractions and a generalization of the zero–two law
Zaharopol proved the following result: let T, S : L1(X,F,μ) → L1(X,F,μ) be two positive contractions such that T ≤ S. If ||S−T|| < 1 then ||Sn − T n||<1 for all n ∈ N. In the present paper we generalize this result to multi-parameter contractions acting on L1. As an application of that result...
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Birkhäuser Basel
2011
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| Online Access: | http://irep.iium.edu.my/6518/ http://irep.iium.edu.my/6518/ http://irep.iium.edu.my/6518/ http://irep.iium.edu.my/6518/1/mf-positivity%282011%29.pdf |
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iium-65182011-11-21T18:21:03Z http://irep.iium.edu.my/6518/ On dominant contractions and a generalization of the zero–two law Mukhamedov, Farrukh QA Mathematics Zaharopol proved the following result: let T, S : L1(X,F,μ) → L1(X,F,μ) be two positive contractions such that T ≤ S. If ||S−T|| < 1 then ||Sn − T n||<1 for all n ∈ N. In the present paper we generalize this result to multi-parameter contractions acting on L1. As an application of that result we prove a generalization of the “zero–two” law. Birkhäuser Basel 2011-09 Article PeerReviewed application/pdf en http://irep.iium.edu.my/6518/1/mf-positivity%282011%29.pdf Mukhamedov, Farrukh (2011) On dominant contractions and a generalization of the zero–two law. Positivity, 15 (3). pp. 497-508. ISSN 1385-1292 (P), 1572-9281 (O) http://www.springerlink.com/content/x1q75jh18420l20u/ 10.1007/s11117-010-0102-8 |
| 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 On dominant contractions and a generalization of the zero–two law |
| description |
Zaharopol proved the following result: let T, S : L1(X,F,μ) → L1(X,F,μ) be two positive contractions such that T ≤ S. If ||S−T|| < 1 then ||Sn − T n||<1 for all n ∈ N. In the present paper we generalize this result to multi-parameter contractions acting on L1. As an application of that result we prove a generalization of
the “zero–two” law. |
| format |
Article |
| author |
Mukhamedov, Farrukh |
| author_facet |
Mukhamedov, Farrukh |
| author_sort |
Mukhamedov, Farrukh |
| title |
On dominant contractions and a generalization of the zero–two law |
| title_short |
On dominant contractions and a generalization of the zero–two law |
| title_full |
On dominant contractions and a generalization of the zero–two law |
| title_fullStr |
On dominant contractions and a generalization of the zero–two law |
| title_full_unstemmed |
On dominant contractions and a generalization of the zero–two law |
| title_sort |
on dominant contractions and a generalization of the zero–two law |
| publisher |
Birkhäuser Basel |
| publishDate |
2011 |
| url |
http://irep.iium.edu.my/6518/ http://irep.iium.edu.my/6518/ http://irep.iium.edu.my/6518/ http://irep.iium.edu.my/6518/1/mf-positivity%282011%29.pdf |
| first_indexed |
2023-09-18T20:15:30Z |
| last_indexed |
2023-09-18T20:15:30Z |
| _version_ |
1777407759791161344 |