[DOWNLOAD] "On the Solubility of Transcendental Equations in Commutative [C.Sup.*]-Algebras (Report)" by Mario Garcia Armas & Carlos Sanchez Fernandez ~ Book PDF Kindle ePub Free

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Title: On the Solubility of Transcendental Equations in Commutative [C.Sup.*]-Algebras (Report)
Author : Mario Garcia Armas & Carlos Sanchez Fernandez
Release Date : January 01, 2010
Genre: Mathematics,Books,Science & Nature,
Pages : * pages
Size : 84 KB

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1. INTRODUCTION Let X be a compact Hausdorff space and let C(X) be the Banach algebra of complex-valued continuous functions on X. We say that F : C(X) [right arrow] C(X) is entire (in the sense of Lorch) if it is Frechet differentiable at every point w [member of] C(X) and its differential is given by a multiplication operator [L.sub.w](h) = F'(w)h, for some F'(w) [member of] C(X) (see [6] for details). We denote the set of entire functions by H(C(X)) and make it into a unital algebra with the usual operations. It is well known that F [member of] H(C(X)) if and only if it admits a power series expansion