Title of article :
A note on dominant contractions of Jordan algebras
Author/Authors :
Mukhamedov, Farrukh International Islamic University Malaysia - Faculty of Science - Department of Computational and Theoretical Sciences, Malaysia , Temir, Seyit Harran University - Arts and Science Faculty - Department of Mathematics, TURKEY , Akın, Hasan Zirve University - Faculty of Education - Department of Mathematics, TURKEY
Abstract :
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 ﺍﺍ S^n0 − Tn0 ﺍﺍ 1, we prove that ﺍﺍ S^n − T^nﺍﺍ 1 holds for every n ≥ n0.
Keywords :
Dominant contraction , positive operator , Jordan algebra
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
