A note on dominant contractions of Jordan algebras

作者：Mukhamedov Farrukh^*; Temir Seyit; Akin Hasan

来源：Turkish Journal of Mathematics, 2010, 34(1): 85-93.

DOI：10.3906/mat-0810-24

• Dominant contraction
• positive operator
• Jordan algebra

We consider two positive contractions T, S : L(1) (A, tau) -> L(1) (A, tau) such that T <= S, here (A, tau) is a semi-finite JBW-algebra. If there is an n(0) is an element of N such that parallel to S(no) - T(no)parallel to < 1, we prove that parallel to S(n) - T(n)parallel to < 1 holds for every n > n(0).

• 出版日期2010