 

Akhlaq A. Siddiqui
A proof of the RussoDye theorem for JB*algebras view print


Published: 
May 15, 2010

Keywords: 
C*algebra; JB*algebra; positive element; invertible element; unitary isotope; convex hull. 
Subject: 
17C65, 46K70, 46L70; 17C37, 46L45 


Abstract
We give a new and clever proof of the RussoDye theorem for
JB*algebras, which depends on certain recent tools due to the present
author. The proof given here is quite different from the known proof by
J. D. M. Wright and M. A. Youngson. The approach adapted here is motivated by the corresponding C*algebra results due to L. T. Gardner, R. V. Kadison and G. K. Pedersen. Accordingly, it yields more precise information. Incidentally, we obtain an alternate proof of RussoDye Theorem for C*algebras. A couple of further results due to Kadison and Pedersen have been
extended to JB*algebras as corollaries to the main results.


Author information
Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh11451, Kingdom of Saudi Arabia.
asiddiqui@ksu.edu.sa

