The spectrum of elements of a complex normed hyperalgebra

Abstract EN

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 quasiinverse 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).