On dominant contractions and a generalization of the zero–two law

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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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Bibliographic Details
Main Author:	Mukhamedov, Farrukh
Format:	Article
Language:	English
Published:	Birkhäuser Basel 2011
Subjects:	QA Mathematics
Online Access:	http://irep.iium.edu.my/6518/ http://irep.iium.edu.my/6518/1/mf-positivity%282011%29.pdf

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