A note on dominant contractions of Jordan algebras

• 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/1594/1/mfstha-tjm%282010%29.pdf; http://irep.iium.edu.my/1594/; http://journals.tubitak.gov.tr/math/

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.