The Spectrum of Elements of a Complex Normed Hyperalgebra

Ayman Y. Mizyed, As’ad Y. As’ad

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).

DOI:

https://doi.org/10.33976/IUGNS.29.2/2021/5


Keywords


Banach hyperalgbera, multiplicative hyperalgebra, spectrum, unitization, inverse, quasi-inverse.

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