A note on dominant contractions of Jordan algebras

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A note on dominant contractions of Jordan algebras

We consider two positive contractions T, S : L1(A, τ) −→ L1(A, τ) such that T ≤ S, here (A, τ) is a semi-finite JBW-algebra. If there is an n0 ∈ N such that ||S^{n_0} − T^{n_0}|| < 1, we prove that ||S^n − T^n|| < 1 holds for every n ≥ n_0.

Bibliographic Details
Main Authors:	Mukhamedov, Farrukh, Temir, Seyit, Akin, Hasan
Format:	Article
Language:	English
Published:	The Scientific and Technological Research Council of Turkey 2010
Subjects:	QA Mathematics
Online Access:	http://irep.iium.edu.my/1594/ http://irep.iium.edu.my/1594/1/mfstha-tjm%282010%29.pdf

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