Affiliation:
1. Department of Mathematics Faculty of Science Niigata University 950-2181 Niigata Japan
Abstract
Abstract
We give a condition on commutativity of a pair of self-adjoint elements in a C
*-algebra with respect to the continuous functional calculus. We also give an answer to the question raised by Jeang and Ko that if a non-constant continuous function totally spans the given C
*-algebra.