On a multi-parametric generalization of the uniform zero-two law in L1-spaces

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)

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Abstract

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

Item Type:	Article (Journal)
Additional Information:	5537/46039
Uncontrolled Keywords:	multi parametric, positive contraction, ``zero-two" law
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Dr. Farrukh Mukhamedov
Date Deposited:	15 Dec 2015 14:13
Last Modified:	27 Nov 2017 17:27
URI:	http://irep.iium.edu.my/id/eprint/46039

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