On the uniform zero-two law for positive contractions of Jordan algebras

F. Mukhamedov

On the uniform zero-two law for positive contractions of Jordan algebras

F. Mukhamedov

Department of Mathematical Sciences

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

1 Citation (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 mε N U 0one has T^m+1-T^m > 2, then. _limn→∞Tⁿ⁺¹-Tⁿ= 0: In this paper we prove a non-associative version of the unform "zero-two" law for positive contractions of L1-spaces associated with JBW-algebras.

Original language	English
Pages (from-to)	55-62
Number of pages	8
Journal	Eurasian Mathematical Journal
Volume	8
Issue number	4
Publication status	Published - 2017

Keywords

Jordan algebra
Positive contraction
Zero-two law

ASJC Scopus subject areas

Mathematics(all)

Cite this

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AB - 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 mε N U 0one has Tm+1-Tm > 2, then. limn→∞Tn+1-Tn= 0: In this paper we prove a non-associative version of the unform "zero-two" law for positive contractions of L1-spaces associated with JBW-algebras.

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KW - Positive contraction

KW - Zero-two law

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JF - Eurasian Mathematical Journal

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ER -

On the uniform zero-two law for positive contractions of Jordan algebras

Abstract

Keywords

ASJC Scopus subject areas

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