... points of X, does not contain the constant function i and wehave CXCX, τ ⊕ iCX, τ. Moreover, CX, τCRX if and only if τ is the identity8 Fixed Point Theory and Applications and so ... |z|≤1}denote the fields of complex, real numbers, the set of natural numbers, the unit circle, the open unit disc, and the closed unit disc, respectively. The symbol F denotes a field that canbe either ... Point Theory and Applications 93 G. J. Murphy, C∗-Algebras and Operator Theory, Academic Press, Boston, Mass, USA, 1990.4 W. Fupinwong and S. Dhompongsa, The fixed point property of unital...