A note on dominant contractions of Jordan algebras

Authors: FARRUKH MUKHAMEDOV, SEYİT TEMİR, HASAN AKIN

Abstract: We consider two positive contractions T,S:L_1(A,\tau) \longrightarrow L_1(A,\tau) such that T\leq S, here (A, \tau) is a semi-finite JBW-algebra. If there is an n_0 \in N such that |S^{n_0}-T^{n_0}|<1, we prove that |S^n-T^n|<1 holds for every n \geq n_0.

Keywords: Dominant contraction, positive operator, Jordan algebra.

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