On a multi-parametric generalization of the uniform zero-two law in L1-spaces
Following an idea of Ornstein and Sucheston, Foguel proved the so-called uniform “zero-two” law: let T : L1 (X, F, µ) → L1 (X, F, µ) be a positive contraction. If for some m ∈ N∪{0} one has kT m+1−T mk < 2, then lim n→∞ kT n+1 − T nk = 0. There are many papers devoted to generalizations...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English English |
| Published: |
Korean Mathematical Society
2015
|
| Subjects: | |
| Online Access: | http://irep.iium.edu.my/46039/ http://irep.iium.edu.my/46039/1/46039.pdf http://irep.iium.edu.my/46039/4/46039_On%20a%20multi-parametric%20generalization_SCOPUS.pdf |
| _version_ | 1848782893011173376 |
|---|---|
| author | Mukhamedov, Farrukh |
| author_facet | Mukhamedov, Farrukh |
| author_sort | Mukhamedov, Farrukh |
| building | IIUM Repository |
| collection | Online Access |
| description | Following an idea of Ornstein and Sucheston, Foguel proved
the so-called uniform “zero-two” law: let T : L1
(X, F, µ) → L1
(X, F, µ)
be a positive contraction. If for some m ∈ N∪{0} one has kT m+1−T mk <
2, then
lim n→∞
kT
n+1 − T
nk = 0.
There are many papers devoted to generalizations of this law. In the
present paper we provide a multi-parametric generalization of the uniform
zero-two law for L1
-contractions |
| first_indexed | 2025-11-14T16:12:41Z |
| format | Article |
| id | iium-46039 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T16:12:41Z |
| publishDate | 2015 |
| publisher | Korean Mathematical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-460392017-11-27T09:27:39Z http://irep.iium.edu.my/46039/ On a multi-parametric generalization of the uniform zero-two law in L1-spaces Mukhamedov, Farrukh QA Mathematics Following an idea of Ornstein and Sucheston, Foguel proved the so-called uniform “zero-two” law: let T : L1 (X, F, µ) → L1 (X, F, µ) be a positive contraction. If for some m ∈ N∪{0} one has kT m+1−T mk < 2, then lim n→∞ kT n+1 − T nk = 0. There are many papers devoted to generalizations of this law. In the present paper we provide a multi-parametric generalization of the uniform zero-two law for L1 -contractions Korean Mathematical Society 2015 Article PeerReviewed application/pdf en http://irep.iium.edu.my/46039/1/46039.pdf application/pdf en http://irep.iium.edu.my/46039/4/46039_On%20a%20multi-parametric%20generalization_SCOPUS.pdf Mukhamedov, Farrukh (2015) On a multi-parametric generalization of the uniform zero-two law in L1-spaces. Bulletin of the Korean Mathematical Society, 52 (6). pp. 1819-1826. ISSN 2234-3016 (O), 1015-8634 (P) http://bkms.kms.or.kr/ 10.4134/BKMS.2015.52.6.1819 |
| spellingShingle | QA Mathematics Mukhamedov, Farrukh On a multi-parametric generalization of the uniform zero-two law in L1-spaces |
| title | On a multi-parametric generalization of the uniform zero-two law in L1-spaces |
| title_full | On a multi-parametric generalization of the uniform zero-two law in L1-spaces |
| title_fullStr | On a multi-parametric generalization of the uniform zero-two law in L1-spaces |
| title_full_unstemmed | On a multi-parametric generalization of the uniform zero-two law in L1-spaces |
| title_short | On a multi-parametric generalization of the uniform zero-two law in L1-spaces |
| title_sort | on a multi-parametric generalization of the uniform zero-two law in l1-spaces |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/46039/ http://irep.iium.edu.my/46039/ http://irep.iium.edu.my/46039/ http://irep.iium.edu.my/46039/1/46039.pdf http://irep.iium.edu.my/46039/4/46039_On%20a%20multi-parametric%20generalization_SCOPUS.pdf |