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

Farrukh Mukhamedov

doi:10.4134/BKMS.2015.52.6.1819

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

Farrukh Mukhamedov

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

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 ║T^m+1−T^m║ < 2, then (formula presented)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.

Original language	English
Pages (from-to)	1819-1826
Number of pages	8
Journal	Bulletin of the Korean Mathematical Society
Volume	52
Issue number	6
DOIs	https://doi.org/10.4134/BKMS.2015.52.6.1819
Publication status	Published - 2015
Externally published	Yes

Keywords

Multi parametric
Positive contraction
“Zero-two” law

ASJC Scopus subject areas

General Mathematics

Access to Document

10.4134/BKMS.2015.52.6.1819

Cite this

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