The Spectrum of Elements of a Complex Normed Hyperalgebra

Abstract

In this paper, we present new results of the spectrum of elements of a complex normed hyper-algebra. Also, we study the unitization and the quasi-inverse of a normed hyperalgebra without a unit element. Moreover, we prove that if X is a complex normed normal hyperalgebra without a unit element and Y is the unitization X + C of X. Then σY ((x, 0)) ⊆ σX(x).